Alright let me start by saying this is my first build and there is prob other builds very similiar to this, but oh well. Eve is my favorite ganking Champ, and in my opinion the BEST. Lets discuss my items.

I always start out with tome and health pot. Then grab regular boots and mejai's. After that I finish my boots. Now quick sidenote, I grab boots of swiftness for the extra speed but later if the enemy champs start grabbing magic resist, I convert to the magic pen boots. After boots grab tear for the mana since Eve is very mana hungry early. Once you get lichbane, your kills start to pile up. After lichbane the next two items are obviously to improve lichbane's passive and and only make you more dangerous. After you finish rabadon's deathcap, thats when you can literally do drive bys on the enemy squishies. The game rarely lasts long enough for me to get the next item, Arch Angels. but after that i always thought either Deathfire Grasp or void staff.

Early game scouting is always helpful to your team. I tend to be kind of a slow start with Eve. So I really just rely on my stuns to help my lane partner get kills. At. lvl 2 i grab hate spike to help me farm minions, but you have to be careful to always have enough mana to stealth. Once you get tear of the goddess, the mana problems disappear. I dont usually grab the blue buff, bc there are usually other ppl who need it more, but it would def help with mana early. once i get lvl 5, Ill start the ganking. And at lvl 6 ill tower dive for kills since my ult heals me after kills. She's very easy to play late game, you just have to be very careful early game. Its very nice to see the enemy champs hang back when they know your are stealthed which is a good way to deprive them of a little bit of xp. So that is a def strategy early game. But im no pro, So if anyone has any advice, especially advice that helps me get a quicker start, I'd be happy to read them.