If it's a soft pull, it doesn't matter. The only ones that matter are hard inquiries. In fact there are reports that on Trans Union and Equifax that if you do lots and lots of soft pulls, eventually they run out of storage space for your file and may start dropping off older hard inquiries.

Regarding credit scores w/ your credit card, I think Providian offers some sort of feature like that. Note that nobody will offer the true FICO score though. It's just someone's approximation to that score. This information may or may not be useful.