All I have to add, besides agreeing with the crate idea, is if you end up putting them in another room, put them in a crate in there.
Dogs can get in distress if put somewhere away from where they want to be, and make a mess or destroy things they can reach.
(maybe this is basenji only advice)
More advice maybe 'only basenjis'
I would never leave the dogs with the kids, no matter how well trained. You may not get prefect behavior from the kids or dogs, every time, and keeping them separated would avert any disaster.