What's a great way to stop using credit cards but keep Mint-friendly electronic transaction records?

So, credit card companies suck for small businesses, and for pretty much everyone other than a few big companies. I’d like to stop using credit cards but keep all the conveniences of electronic transaction records, Mint-syncability of accounts, etc. I never carry a balance or any of that nonsense. What are some thing you’ve tried that keep currency electronic but fee-free and small-business-friendly?