Well, a holster is generally what is recommended for guns.
As a guy I don’t know why ladies need purses that could hold Moby Dick. The smaller and more compact, the more difficult to snatch.
OK, set the purse-snatchers up. A little explosive device in the purse, triggered within 100 feet by a little remote, which can clip on to any part of your clothing.
Grab...run...BANG!