if you are new to the 22, and looking for a rifle, get either a Marlin, cz, or Savage bolt action. for semi auto, get a marlin mod 60. these are all under 150 bucks, they are all reliable, they are all accurate.
DO NOT GET A RUGER 10.22. I have one, and like it very much, except i do
not consider it a beginners rifle, It needs mods and upgrades, at least another 100 bucks worth, just to make it remotely accurate, and function reliably.
You can typically get a marlin mod 60, for less than 80 bucks, at a pawn shop.
it would be better to go to a gunshop that has a used section. Ask if that gunshop has all it's trade ins and used stuff checked by a gunsmith.
Also, if you don't know how the rifle takes down, or works, don't be afraid to
ask the clerk. The guys at the gunshops are usually pretty helpful, at least they are In houston, and know what they are doing.
If looking for a pistol, get any revolver, so simple , usually a Taurus will fill
the bill, they come in switch bbls, 22 / mag , or 17hmr/ mach2.
For pistol, go with the simplest to take down, and they will also be very accurate, this would be the S&W 21A or the Beretta Neos. Both will be less than 230 bucks, and they require 1 button to push, or 1 thumbscrew to turn, to take down. Again, DO NOT GET A RUGER PISTOL. Unless you are handy, and can follow directions exactly, the ruger is simple to take down, but if you put it back together wrong, and do not follow the directions exactly, you will ruin it, or blow it up. Now the ruger is a great pistol, and has the rabbit ears for easy pull back on the bolt, it is so easy to pull , I had a couple of Grandma/Grandpa's at the range decide they would buy models just like mine, for home defense. they were both old and Artheritic, but they could both easily manipulate the mag release, and the bolt pull. this was on the ruger 22/45. easier mag release, than the MK I or II or III models.