If you are just starting out, get a good bolt action 22. You won't be able to hit at long range until you can hit at short range and that takes a lot of practice. You can shoot a 22 all day for a few dollars, FAR cheaper than even the cheapest centerfire ammo. You can learn the essentials of breath control, trigger control, sight picture, proper holds, etc, etc without breaking the bank.
THEN you can start thinking about a centerfire rifle.
http://cz-usa.com/products/view/455-american/