Love rabbit had beagles for over 40 yrs, I hunt squirrel with high end springer air rifles more then I do with black powder.. hunted for years with a .22 rim fire or pistol then started air gun hunting, no different then with a .22 rim fire other then you lose maybe 10-15 yds in distance.. have killed squirrels at 40 yds with air rifle and head shots.
I like hunting squirrels or rabbits with about anything legal.
I do like dove or even young pigeon fixed right but have to go with squirrel then rabbit as my favorite.