Thirsties are a good, dependable diaper cover. They have a flap in the front where you can tuck your insert/diaper flat/prefold. The velcro does tend to wear faster on these than other covers I've owned and honestly after a while they start to get loose strings and such, which I just trim. It doesn't seem to affect function. About half my stash of covers are Thirsties. I haven't had the PUL fail on me yet.