Our childminder is good with Easyfits and our one and only bumGenius (aplix). Poppers are hit and miss, they seem to always get done up too loosely for some reason. I'd probably keep things simple and stick with pockets/AIOs instead of fitteds, just in case they forget to put on the wrap/soaker
We were already using pockets anyway when DD started going to the childminder so we didn't have to fork out for a new stash, and she's only there mornings so I just send 5 nappies on a Monday, one change for each day.
ETA think I've said the same as Caroline, just in more words!
We've never had a lost nappy either.