Welcome to the Forum Teddy -
For a starting rifle, a .22 caliber boltgun, or even one of the Ruger 10/22's would be a great choice.
The ammo is cheap, and plentiful, and you can shoot a couple of hundred rounds in an afternoon and not have to worry about being punished by the recoil.
Marlin, Savage, Ruger - all good names in firearms that have been around for many years.
I would narrow your choices down to whether you want a single shot, boltgun style OR do you want a magazine fed, semi automatic style.
Once you narrow that down, the guys here will definitely be willing and able to point you in the right direction.
Again, welcome to the forum and welcome to the wonderful world of firearms.