For Twisted Fate, you want to use your blue card when last hitting so that it's easier and you'll regain mana if you use gold/red card or even wild card. When you get to level 5, try to push a bit before you hit level 6 so that you can use your ultimate and help a lane while having middle safe even though you have left it. While gold card is good, do not underestimate the power of red card if you can hit all five of the enemy champion with it. Since Twisted Fate has a small range, make sure you are at safe distance at all time and kite. When using your ultimate make sure you lead so that they run into you and not so that they are 5m away from you when you get there. When leading, try not to lead too far because they'll see you and go the other way so they will still be 5m away from you.
For Udyr, he should be played tank or tanky dps because he gets into the front of the battle and tanky Udyr is almost impossible to kill. Tiger stance is for turret or extra damage. Turtle Stance whenever you can so you get the shield or just when you need to lifesteal. Bear Stance so that you can stun or run faster, run away/chase. Pheonix stance for jungling level 1-6 or for early ganks when you haven't level tiger stance or when you barely leveled tiger stance. Remember to stance dance while going into battle for the awesome attack speed and dodge and to keep your buffs up. Combinations of stances include Turtle + Bear to run away, Pheonix + Tiger for destroying towers, Tiger + Bear for chasing.
Amumu is one of the game changing tanks with his stun and AoE snare. He jungles quite well so jungle whenever you can. His ganks are pretty strong as well with his bandage toss. In a team fight you want to initiate with bandage toss, wait 1 second then ultimate everyone you can in his ultimate. Wait one second so that the stun isn't wasted, but if you can't wait then ulti right away. If you cannot initiate then bandage in or flash in for the perfect ultimate position. Remember to turn your despair on and use tantrum when you can in a team fight because he does insane damage over time if you keep despair up.
For Udyr, he should be played tank or tanky dps because he gets into the front of the battle and tanky Udyr is almost impossible to kill. Tiger stance is for turret or extra damage. Turtle Stance whenever you can so you get the shield or just when you need to lifesteal. Bear Stance so that you can stun or run faster, run away/chase. Pheonix stance for jungling level 1-6 or for early ganks when you haven't level tiger stance or when you barely leveled tiger stance. Remember to stance dance while going into battle for the awesome attack speed and dodge and to keep your buffs up. Combinations of stances include Turtle + Bear to run away, Pheonix + Tiger for destroying towers, Tiger + Bear for chasing.
Amumu is one of the game changing tanks with his stun and AoE snare. He jungles quite well so jungle whenever you can. His ganks are pretty strong as well with his bandage toss. In a team fight you want to initiate with bandage toss, wait 1 second then ultimate everyone you can in his ultimate. Wait one second so that the stun isn't wasted, but if you can't wait then ulti right away. If you cannot initiate then bandage in or flash in for the perfect ultimate position. Remember to turn your despair on and use tantrum when you can in a team fight because he does insane damage over time if you keep despair up.

At your level, I can safely tell you that you will learn the most by simply playing, and watching streams.
Thanks to TRUeLM, Plastictree, Scrax, Xiaowiriamu, foggy12, JahGFX, jhoijhoi, msrobinson, JEFFY40HANDS, Nyoike, MissMaw, and me :) for the sigs!
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At the moment, I have Karthus, Rumble, Twisted Fate, Cho'Gath, Ashe, Udyr, Annie, Amumu, Nunu, Nidalee, and Ryze unlocked. Although, I haven't played Nunu, Ryze, or Ashe more than once; however, I've logged in good hours on the rest (At least 10 games each).