Lower rate early payoff??

The math way of organizing Credit cards says to pay off the highest interest rate first. I like saving money. Last weekend when CC#2 lowered my rate I stopped and paused. Should I now refocus on another card CC#3 with a rate of 12.9% interest and let the 9.9% ride? But I have decided to keep paying off CC#2. there are two reasons. The savings over 6 months is maybe about $180.00 total. It would have me paying off debt a tiny little earlier. BUT I have a baby coming. If I had to just pay the minimums on all my cards because of additional child care expenses it would be better to have fewer cards then lower interest rates. I don't think the change is focus is worth it. So I am following Dave Ramsey' snowball temporarily until this CC #2 is paid off. I think it should be complete by May of next year. Security is more important then $180.00 in fees. Then I will return to highest interest rate card first. It will really depend on Christmas expenses and how pay checks work while I am on short term disability and maternity leave. It is good to have an emergency fund so I know I can cover one month's expenses. Hopefully after that all the funds will kick in properly and I will be receiving a regular pay check. It will be a fine balance I am sure. My employer while a strong stable company is known for its flubs on payments. So I am a little nervous. One day at a time road traveled. One day at a time.