League of Legends (LoL) Question: Suggestions for my next champions?

As jungler,in my point of view, based on what you described i recommend you to try Warwick and Poppy. Both are 450 IP and fits your requirements.

Warwick has a great sustain in the jungle, so that will might help you keep your farming, also he's a bit tank, but still can duel because his tankiness, damage and lifesteal, what makes him as a interesting champion to play as a frontline tank or an ad carry, if fed, can do both easily.

Poppy by the other hand, is such a versatile champion, she excels at being a tank and engaging or disengaging the enemies. She can be played both as a toplaner and as a jungler, and she does a great job as both. Focusing as a jungler, you won't have a great clear during you first levels, but after you get your jungle item you'll be able to help your entire team as a more supportive jungler, but still doing a bunch of damage.

Hey, I believe that I have understood what you're looking for and I hope that I can help.I have a few champions in mind but I strongly recommend Galio, he has recently been updated and he feels extremely nice to play, he is a strong tank that provides his team with some good damage and Crowd Control.His cost is 3150 IP ,which I think is a good price for your situation, his laning phase is quite strong and so is his waveclear, if you manage to get a lead with Galio you will indeed get stronger and see a big difference in both damage and defense.His kit is simple to understand but I wouldn't really consider Galio beginner-friendly, his Ultimate Hero's Entrance makes Galio leap to an ally from far away, granting that ally a defense boost and knocking and damaging enemies around that area.His Ultimate is similar to Shen's Stand United and both of them have an AOE taunt so I believe that you will get the hang of him fast, just make sure to read some guides to understand how to play and build him.

Another champion that might fit your playstyle is Sion,you can unlock him for 1350 IP, he is a fighter, a juggernaut and like Galio he has good damage and crowd control, but, unlike Galio, Sion might feel a bit slow at start so don't get discouraged, as you start to understand him, you will be able to do some really nice plays and lead your team to victory, hopefully.His Ultimate Unstoppable Onslaught has him charging through the Rift at a high speed similar to Master Yi, you can use that as an engaging tool for your team to follow, after Sion has finished charging or lands on an enemy he deals a lot of damage and knocks surounding targets into the air and leaves them stunned.I also want to mention his passive Glory in Death which after Sion dies, he comes back to life dealing a lot of damage with his Basic Attacks and more.

I didn't really want to explain Sion and Galio completely but instead let you find out for yourself, unless you already know of them.That being said I really thing that these champions are worth trying out and also keep in mind Galio is free to play right now.Remember to check their champion spotlights on Youtube and also look for some guides before you try them out.I was also thinking of recommending Cho'Gath and Darius but I personally find them boring.I hope this will turn out to be helpfull, GL HF buddy.

I will suggest some champions each one for other time to focus.

1) As a tank jungler i suggest Rammus as he have a lot of mobility and good clear, but he won't be able to carry you every time even if you fed.

2) For farming practice i would suggest Nasus as his kit (Q) focusing on farming and he surely can carry late game even if he behind in the laning phase.

3) A champion that can carry very hard is Darius and lately he doesn't get ban a lot.

You should try to learn the aspects of the game and focus on one/two champion in your condition so you will be able to focus on learning the macro game.

I suggest to watch SoloRenectonOnly as he a top laner that teach while he play, mostly give tips for laning phase.

If you're looking for a jungle / top hybrid, i'd say get Jax. He is super cheap (1350 ip i think) and has a lot of strengths, and can counter some of the main weaknesses in most team comps. He has a good amount of cc and sustain, having the stun from his e and naturally building life steal. The first 2 or 3 games with him will be rough, but after you get the hang of him, he is super easy to carry games with. He is attack speed based due to his passive, and you can capitalize on it by buying things like trinity force, blade of the ruined king, and if you want to get some ap, you could even get a rageblade (although it is not a standard item on him). He has a high burst potential, and once you learn his combo (which is pretty simple imo), you can get fed super easily on him and pretty much solo carry games.

As bronze trash, I'd normally say to main Yasuo. But, as a different type of bronze trash, I'll recommend easy and fun champions to main.
Zed - Easy to learn, tons of damage, makes you look and feel like you're outplaying everyone in the entire game
Akali - Even easier to learn, lots of escape potential, damage potential, chase potential, potential for potential, and more
Katarina - Mash your face and you're a god at the game
Talon - Easy to learn and play, but honestly gets boring as he's basic and doesn't look very flashy
Teemo - If you want to spend 5 hours afk'ing in a bush until someone steps on your mushroom, ultimately sabotaging their weekend and making them re-think their life choices about playing league of legends
In conclusion,
Play cancerous champs.
GG ez

try Vladimir / Singed. these 2 could be really unstopabble (trust me, i not lose any game with singed on soloq). but little hard to play firsts games, and singed have a unique gamestyle.
also i recommand you Yasuo, Jax and Darius(i dont know why i do this, people will kill me for it), if get fed can carry a game, but in most cases you will be the feeder with yasuo.

I am not good at details so if you want know more about these champs watch some guides.

You have two options, pick a type of champ you are already confident in- another tank, or fighter, or pick a champ which is different from the ones you play, but can broaden your variety of choice, which will be beneficial when your team already has front line and requires more damage(or other utility). Strong champs which cover your preferences are Darius, Illaio, Sion, Yorick for top lane or Vi, Zac, Skarner, Hecarim,Amumu, Rammus in jungle. Champs that are different, but can become handy in certain situations are Rumble, Jayce, Jax, Kennen, Panth for top and Kha, Gragas in jungle. Some of them give magic damage, high aoe team fight capability, much map pressure, or assassin power, which is what your arsenal of champs lack

Fighters are pretty good in the sense that they are not that squishy, (not tank either) they do good when fed, and have good cs tools, damage abilities, and they can carry as well. A fighter top is Fiora, but it is 4800 ip so I recommend trying it out in this week, as it is free. And Sejuani, cho'gath (tank jungles) are pretty good in the sense that they have good cc while they are tanky, but they don't solo carry and deal not that much damage, but it provides your team good support.