I've gotten into this situation because I'm stubborn, and don't do a budget or optimize as well as I could (I'm half-ass, rather than badass).
It's silly with the net worth my wife and I have (passed $1 mill last year) that we have these little debts, yet we're here because I don't want to sell investments and time things. A couple of words of advice:
1. Transfer balances EARLY in the billing cycle. especially with Chase, it seems to take days for the balance to move to the next card, and you don't want to tack on late fees.
2. Make sure you're logging onto the website of your card issuer every month. B of A changed my minimum payment once, and it caused all sorts of fees/penalties.
3. It helps to have a "cross-ruff" where you're moving balances around between three different banks. At any time, I have floating balances with two out of three banks, so there's always a card at $0 that's ready for the next move.
4. Remember that these credit cards are CALLABLE. This doesn't matter until suddenly it does.
5. Be aware of the places in your life that are effectively interest free: tax returns, bonuses, other spikes in expenses/income, like planned charitable giving (my wife and I contribute to our church throughout the year). Use these to try to pull ahead on the debt by contributing into investment accounts early in the year.
In my case, I've decided to think about these debts as "negative bonds", so I'm gradually paying them down now to try to trim my investment risk, with the idea that I can dramatically ramp the debt back up if a bear market suddenly appears.
Good luck!