[g.willikers]

Bullseye matches allow plenty of time between shots, so recoil management isn't as important as with other types of shooting.
Anything you can point and shoot well will do, at least until or if you decide to get more serious.
There are target grade 9mms, like some of the High Power models, especially custom versions.
But like T O said, hold on to your hat when you price them.
Red dot sights might seem like the way to go, but a really good set of irons would be my choice.
Red dots are better for the action games.
For us old fahts, check to see if they have rimfire categories.
Our local club did/does and many Bullseye clubs do.