Hi Mr Person,
I'm unsure exactly as to how consolidation would effect your credit score, but I wouldn't imagine that it would have too much of a negative effect as you're taking positive step towards reducing your debt.
You can at least consolidate your
credit card debts into just the one credit card by carrying out a balance transfer onto a different
low interest credit card.
There are plenty around these days that offer really low interest rates (some that are even ongoing) for both
balance transfers AND purchases, so your over all costs on your credit card bill will go down, as well as your savings on annual fees will increase.
Hope this helps.