Dry firing is really inexpensive and still great practice.
Shooting a springer requires a very neutral follow through. It makes "real" shooting seem much easier. Most center-fire or rimfire rifles are not nearly as sensitive to stock pressure as a springer is.
Edit: or use a bipod/tripod like BS
My first "real" springer was an exercise in frustration at first because of the harmonics... it absolutely hates being shot off anything supporting the stock much foreward of the trigger guard, including a hand. I had to dampen the stock because it made my teeth buzz, too. It's a pretty accurate rifle, but it was a bear to figure out the magic hold dance to make it shoot straight.
It pretty much never leaves the safe since I got a PCP... all the accuracy, none of the frustration.
