When it comes to my "moon time," I've been happily using cloth pads for the past three years. I know many people love Diva Cups, but I never felt comfortable wearing tampons, so I knew that wasn't for me. Back in 2010, I won a raffle on Crunchy Chicken for a full set of Lunapads. I'd been interested in trying them, but the starter kits seemed somewhat expensive ($75-125), so I was lucky to win the raffle, without which I might never have taken the plunge.
However, once I realized how well they work and how long they last, the upfront price seems worth it in the long run. I know some crafty people have successfully made their own cloth pads (see It's Not Easy Being Green), which could save you some money if you have a sewing machine - and good quality scrap fabric. Lunapads do amaze me with how absorbent they are.
As for the logistics: they offer little bags you can keep in your purse for changing fresh and used pads. Since I don't have my own washing machine and only do laundry about every three weeks at the laundromat, at the end of each day, I do a quick handwash of the pads with a little detergent in my sink, and then hang them to dry before throwing them into my regular laundry.
It's not too much of a hassle, and it's worth it to have no plastic next to my skin and no trash to send to the landfill each month. The concept of using cloth pads makes so much sense when you realize that rags have been the historic protection of choice. (Although, I do still keep a set of tampons around in case of a trip to a beach or pool.) Since it's a sensitive topic, it's not something I typically bring up to my friends, but I'm putting it out here to encourage more women to give them a try.
* This post itself is not sponsored by Lunapads - I just wanted to share how much I like them and to encourage others to explore beyond the conventional options.