Canyon- first, welcome to the Forum- we're glad you found your way here.
The 10-22 is sort of the Barbie Doll of 22 rifles. The price of a Barbie is quite reasonable. But then you need Barbie clothes, Barbie's car, Barbie's Dream House, and....... well, you get the idea. Good rifle- has more accessories that a Harley Dealership.
CCI makes a very decent 22 cartridge. There are better. Known as Match grade ammo, you will pay a LOT more.
Cleaning and maintenance- first, read the manual. If you do not HAVE the manual, go to the Ruger website and download it. Second, do not over clean it. .22 rimfire IS somewhat dirty, and you will need to clean powder residue from the action- the barrel- not so much.
Dry firing MANY .22s will damage the firing pin or mouth of the chamber. Remember that a .22 is NOT a toy- it has enough power to inflict a fatal wound, and CAN drive a bullet about a mile and a half. Know your target, what is beyond, and keep your bloody finger OUTSIDE the trigger guard until you are ready to shoot.
As you get some specific questions, come on back. DO spend some time reading thru threads that have already been posted on that topic.