My favorite leather cleaner is Leather New. It's a liquid/spray, so just spray it on your rag/sponge first, then scrub the tack. Don't spray it directly on the tack or it may drip.
I don't have much suede, but the one time I cleaned a Western saddle, I used some stuff I bought at Wilson's Leather that's made for cleaning purses and such! Seemed to work just fine!
Monte - 15 year old Paint/TB
Auric - 13 year old Arab