I live in Richardson also. I kill a lot of squirrels at the house here with an RWS mod 36, cal 177. Neighbors have no idea. :-)
You do realize what you are doing is an illegal act and game violation?
Means and Methods
Firearms
Game animals and game birds may be hunted with any legal firearm, EXCEPT:
•white-tailed deer, mule deer, desert bighorn sheep, and pronghorn antelope may NOT be hunted with rimfire ammunition of any caliber.
•shotguns are the only legal firearm that may be used to hunt Eastern turkey during the spring Eastern turkey season (see County Listing). Rifles and handguns may not be used to hunt Eastern turkey.
•pellet guns and other air guns are NOT LEGAL.
•fully automatic firearms are NOT LEGAL.
•firearms equipped with silencers or sound-suppressing devices are NOT LEGAL.
•a shotgun is the only legal firearm for hunting migratory game birds (see Definitions - Legal Shotgun).
Game Animals
The following are classified as game animals:
White-tailed deer
Mule deer
Desert bighorn sheep
Pronghorn antelope
Gray or cat squirrel
Red or fox squirrel
Collared peccary or javelina