Hi, I've been playing the game for the past few days. I wanted to know whats a good beginner, not too expensive champion that has really high abilities damage. Someone that can easily finish someone or just simply do nice damage with the abilities. I don't care if he is squishy or tanky, melee/range, anything works for me. Thanks!
Ryze, Annie, and Garen off the top of my head
Some people will argue with me on Garen but he actually has a strong laning phase against a lot of champions, his problem he doesn't scale super well into late game.
Ryze is one, really high damaging abillities and a bit of an easier typical build path than a lot of other champions.
Easy to use abilities as well.
Annie. Very easy to play and once you master her you'll be quite a force to deal with.
**Jungle: **I would say Warwick is your best bet. Even top lane Warwick is pretty solid for beginners because of his sustain. Build Warwick tanky with on hit items such as Blade of Ruined King or Witts End. In Jungle try to buy a Devour enchantment. Also don't go all out on damage, you don't really need too much damage items on him. One maybe two max. Another cheap jungler thats easy to play is Nunu. 
**Top: **Cho Gath top or Ryze although with Ryze you need to try and get mana items not AP items. 
**Mid: ** Heimerdiner, Annie, Ryze, Karthus although Karthus is kind of expensive compared to the others. 
**Support: **Sona very simple kit easy to understand. 
ADC: Caitlyn possibly Miss Fortune aswell. Just remember to build these full damage regardless of the AP ratios in kit. 
As has already been mentioned: Garen, Annie, Cho-gath, Ryze, Heimerdinger, Warwick are all very basic in kits, very easy to use and understand. Their roles are relatively obvious and simple. Master Yi is also pretty easy to use, you just need to understand when to use item actives and when you need to activate E or R - otherwise, he's a simple champion with an insane ability to stick to others and is based almost entirely off of AAs. Scales well into the mid-game as an assassin and amazingly into late-game built as a bruiser.
garen lol i still use him every now and then and he is insanely effective once you know what youre doing
I would have to say annie will be the easiest burst champ Q is free cs and semi decent mana cost just max Q first use it to farm its free no mana cost as long as you kill the target with half the cd time only issue you will have is learning her stun, 4 spells then next will stun usually want to pop tibbers for that
I would say budget or price is the least important, if there is one that suits my description and is awesome, I don't mind adding a few RP to get him.
Cheap champions are easier champions.
I would say Garen or possibly Udyr. Maybe Teemo?? Most high-damage champions are not very newbie friendly.
