What kind of equiment do I use?
 
Here's my set-up:

For the Bb side of things, I play a modified Vincent Bach Stradivarius #37 with a Monette STC-2 B12M mouthpiece 
(not mine, just a stock photo of one)

For the C side, I use a Yamaha Heavy Wall with a Monette STC-3 C12 mouthpiece.

(also not mine, just a stock photo of one)

I also have an unique cornet in my bag of tricks:
It's a Conn from the 1970s made by Yamaha while Conn was moving it's plant.
Some parts of it look very much Conn, while others are obviously Yamaha.
(photo currently not available)