Damsel here-
Currently I carry a Beretta Bobcat .22 pistol ...
I guess what I want to know is, what are some other options as an upgrade, but something similar to the Bobcat size to conceal and carry?
Here is one website that might help find options:
Genitron Handgun Search.
You can filter for caliber, manufacturer (if one certain maker is preferred), sorting the output by overall length. That'll get you a short list of possible sidearms that might suit you.
I'm with others, on the question of caliber. If it's actually going to be for self-defense, then you're going to want something that'll fairly reliable put a halt to an attacker's violence.
I would do two separate searches, one for each of two calibers: 9mm, and .38 Special. Sorting the output by overall length. That'll get you started.
My own thoughts on which possible sidearms might be suitable for a self-defense gun on the smaller side:
Kahr MK9 9mm, pretty small, and all metal
Kahr PM9 or CM9 9mm
SIG P290 9mm
SIG P365 9mm
FN 503 9mm
SIG P938 9mm
Ruger Max 9 9mm
Springfield Armory Hellcat 9mm
Smith & Wesson Shield 9mm
Glock G43 9mm
Smith & Wesson Model 60 revolver w/ 3" barrel, .357/.38
Ruger SP-101 w/ 3" barrel, .357/.38
^ That list is roughly in order of ascending overall length. At the top of the list are guns that are about as small as you're going to find in the 9mm or .357/.38 calibers.
Ditto, on the idea of heading to a couple of good gun ranges where you can try out a sizeable number of different handguns. To find something you shoot well, can control well enough, can operate reliably and effectively, and can conceal ... it might take some time. For many of us, we've already been through this across years (even decades) of trying out numerous guns and seeing what fits. I've shot many of the guns on the list above, and owned several.
It'll be well worth your time, I think, to find a gun in a "service" (self-defense) caliber that's well-regarded for its essential ability to hit hard enough and penetrate far enough to put a halt to a violent attacker. No guarantees in all of this, but an effective caliber's half the problem to be solved. The other half is to get quite good at using it. These larger rounds will have more recoil, more blast, more muzzle flip ... but those things can be managed well, with sufficient practice and determination.
Good luck on the search.