Depends on the campground, most of them heavily frown on, if not outright ban, dumping greywater on the ground -- especially if there's any food waste in it.
tbh when I tent camped I just washed stuff at the spigot, but I think they're getting stricter on that as well.
Most of the RV campgrounds will have a dump station you can use.
I picked up a 16gal portable tote for my Roamer, works great.
Started out with a 6gal, it filled up quick (with 5 people) and without wheels it was a little cumbersome to deal with.