Chicharrones called the only real issue with springers. For the cost you cant get a more powerfull or accurate air rifle then your average spring piston. Ive never learned the "artillery" hold and dont shoot most heavy springers very well so they are not my chosen guns. $100+
Pump up rifles are great, especially if your using them as by the door pest guns. I had a long string of corssman, and daisy pumpers, great fun and generally accurate enough. 650fps is my personal minimum for a hunting/pest (besides indoor small stuff) air rifle, alot of the cheaper pumps get close but are usually in the 5-600fps range. If i was going to buy another pump, id probably get A Benji in .22 those produce pleanty of power, are well made and fairly inexpensive. $50-180
Personally (since i live in hawaii i generally dont have to deal with weather issues), i really like the CO2 powered air guns. Since co2 is sort of self regulating, about 800psi at 70*s i believe, they are simpler then a HPA gun and cheaper, as well as often being just as accurate.
My personal favorite are the Qb78/79s. Ive had 4 now and all were very accurate, and powerfull enough for hunting small game. I built and tuned one recently for a friend to use as pest control on his little "farm". The gun turned out a little over 850fps in .177 with JSB exact heavies, or AA fields, and grouped consisently under .25 at 10yds, a little over 1" at 50. $70-100
I have also owned HPA air rifles, a couple in fact, They generally offer the closest performance to real firearms. I had a custom built .22 that would easily achieve 900-1000fps with a very heavy pellet (32grs if i rember), for a good number of shots. Accuracy is usually excelent to steller, both of my rifles would hold less then 1" at 50yds and my heavy would get less then 3" at 100. The real down sides to these rifles are; the power, noise, and hassel of dealing with 3000pse. If you have an adjustable gun, either via regulator or valve opening duration, you can get ALOT of shots with standard weight pellets at 7-900fps. You can use a hand or foot pump to charge them, but its MUCH easier to keep a filled scuba tank around and just use the pump to top off your charge. Noise, is an issue that alot of people get around by running the rifle slower, or using a shrouded barrel. $250+