I have very few options to pay bills by card, but do try to set up as much as possible to earn the rewards. As long as it doesn't charge a fee, I'm fine with using the card.
I have everything set to e-bill me, but I still pay everything myself online. I don't like autopay. I like seeing how much I'm paying out each month and can catch any weirdness pretty fast that way, but mostly I still think it's a good idea to have the ritual of sitting down and devoting a few minutes of time to bill paying so I am not just letting money come in and go out without thinking about the process.
When a bill comes in by email, I star it as a reminder. I then sit down twice a month (every other Friday) with my bill notebook and check my starred emails - enter the bill, amount paid, due date and date paid. I then go pay the bills due through my bank's website.
I do use Mint to track bills and spending in general, but the notebook has been an easy way for me or the husband to check stuff immediately since he gets emails on some bills and I get some others, and it literally takes me 10 minutes. It's both a tracker and a reminder. I can make notes of what I spent (if the amounts are higher than usual), double check that all bills came in and see if there are any increase/decreases compared to last month or year by flipping through a few pages.
We have one bill that still comes by mail and can't be set up to be emailed, but we can fortunately pay it online. We just lay that bill on the notebook so that it's there ready to be entered when it is time to pay bills.