The Bersa .380 has a pretty good reputation, but handguns as small as that have somewhat “snappy” recoil. The only thing resisting the recoil is a spring and your arm, being a blowback-operated firearm. Not that there’s anything wrong with that, but they have a tendency to be uncomfortable to shoot. Also, not to start the argument about stopping power (which can go on for pages with no resolution), a 95-grain .380 ACP JHP (jacketed hollow point) has notably less muzzle velocity and energy than a typical 9mm round out of a longer barrel.
My suggestion: a service-sized 9mm handgun. Try a used Sig P220, a Glock 17 or 19, a Springfield XD9, or a new P-series Ruger. Load it with a premium 147-grain hollow point and you’ll be good to go.
Last, .380 ACP is next to impossible to find right now due to the nationwide ammunition shortage. It cost me almost $100 for 200 rounds when I found some, and I haven’t seen any on the shelves since. 9mm, however, is relatively easy to find and at decent prices, which makes it much more cost-effective to shoot.