With a handgun, there is a sort of "zen" that happens when you pick up the one that's right for you. For me, it's my various Glock firearms. Might not be for you. I can strongly recommend finding a local range that has guns for rent, and try a few different guns out. You'll know when you have the right one....
You're in the right price range to purchase a high quality weapon; don't compromise there. Glock, Beretta, Sig-Sauer, S&W, Springfield Armory, H&K, Colt, Kimber, Ruger....any of these guys know how to make a quality firearm and can be trusted to provide you with a great tool for your defense needs.
Lastly, take it to the range and put some focused practice time in. A couple of lessons with an experienced instructor will prevent you from developing bad habits and sharpen your techniques. Shooting a handgun is an acquired skill, and it takes lots of practice to do it well.
Be safe and have fun - N.F.H.