I used to use glid cream quite a lot, here's one I made earlier 
A blog of wood: 13/03/11 - 20/03/11
You're fine with a swede brush just go gently & only clean with the grain, you're only trying to clean out the grain if you're worried give it a blast out with compressed air, the better you clean out the grain the better the effect.
I've found Lemon oil the best for cleaning off the dried gilt cream, if you have any of that, worth getting some for the inside of vessels if nothing else.
Look forward to seeing what you come up with Phill 