Olie - for me, the keys for successfully using any mic through an amp are the following:
1) Get the amp up and over the body of the bass; the body acts as a big sound gathering diaphragm, so that it becomes a part of the microphone, and thus part of the potential feedback loop. I've posted this pic before, but this is my solution to this step:
[Invalid or Expired Link Removed] (thanks yet again to Joe Smithberger for taking and hosting these pics!)
2) Mute the afterlength of the strings. While it's true that this dries up the sound somewhat, it also allows the more of the "potent" amplifiable signal to pass through while getting rid of a lot of the ambient sonic ****age that can cause feedback at lower levels.
3) Blend the mic signal with a pickup signal if possible. The mic provides the "wood and air" on the outside of the sound, and the pickup provides the solidity in the center of the sound. It's a sonic illusion, but one that works: you really don't need all that much mic signal to make the overall tone sound much better
4) Make sure that the mic on your bass is positioned so as to reject as much other noise on the bandstand (bass drum and cymbals are the worst) as possible.
In my experience, hi-fi amps are the best for all of this, but the truth is that any amp can be used for this purpose, and that if you experiment and do some homework (like practicing with the concept that your amplified sound is an extension of your acoustic sound), you can always improve your live sound at least a little. Old school guys scoff at the idea of practicing with an amplifier, but I don't...I figure that if I'm playing with an amp, it makes sense to practice understanding what the amp is putting out by practicing with the amp occasionally. Also, be aware that what sounds good right up close to an amp is often darker than what will project well out front. If you ever get a chance to do it, try a practice session where you are standing 10-15 feet away from where you would normally be for a few minutes - I've done that, and it taught me a bunch.
Good luck!