For your 10/22 you will find all the info you will ever need on it specifically on
RimfireCentral.com - Hobby and Info Source For All Rimfire Caliber Ammo and Firearms if you did not know of that site already. With that said, with the 10/22 some people clean them only about every 10,000 rounds or so, no joke. I clean mine about every 2-3,000 but only lightly and it only takes a few minutes.
Like was mentioned every firearm is different, so there will be some learning curve with each new one for quite a while.