Little squirt is super easy to install and to move houses, so thats not a problem.

You can use any cover over the BBH's (btw, bamboo is my fav too cos so much softer!) I use over mine, mazalicious covers, mother-ease covers and things like longies, shorties, soakers etc.
ETA - I don't particularly like the BBH covers because they left red marks on my kids legs? I think they reacted with the way that the elastic is done - not sure.