Usually, at 10 yards, you are not going to see a lot of difference in performance with pellets. If you are not grouping well off a rest, it is likely technique (as above). For longer ranges, the differences in performance of pellets begin to show up.
Crosman Premier Hollow Points (CPHP's) in the tin and Crosman Premier Lights (CPL's) 14.3 gr in the cardboard box are a staple pellet for several of my .22's, including the Mike Melick B-26 and my Crosman CO2 2250-XT. RWS SuperDomes and RWS SuperHPoints are also pretty good, and seem to be preferred by my Hamerelli 850 in particular. My high end .22 springer (Paul Watts' tuned Diana 34) shooting down range likes Beeman Trophy's (if you can find 'em) and also Beeman Field Trial Specials (FTS). H&N Match in .22 wadcutters also shoot well. And of course, if intend to whack a varmint or two, I will usually load up with JSB/Polymag Predators.
In my beloved 20 cal springers (Beeman R9, Diana 48, and Theoben Crusader), I usually end up shooting JSB Exacts or Beeman FTS almost exclusively.
In my 177 cal springers (HW30s, Slavia CZ-634, Gamo Hunter Elite, MM B-26) I like RWS Hobby or CPL's for punching paper. The Beeman FTS, and JSB Exacts (AKA Wolverines) are especially good for longer distances, particularly for the higher velocities (850 FPS+) of the Gamo HE and my Mike Melick B-26
And for serious target shooting with the Walther LGR-U or Daisy 853, or the IZH-46A pistol, lower velocity single pump pneumatics, Vogel Orange (practice) or Vogel Green (Match) pellets are the best.