In these early stages of separation/divorce, kids still have the hope that Mom and Dad will reunite. It's a traumatic event in their lives just like it is for the LBS. They will eventually understand a parent's need to "date" or have a social life, but it takes time for them to get to this point of acceptance.
This should be a very gradual process, not a forced one. Certainly you shouldn't have the kids sleeping on the floor of OP this early in the game. It can destroy a child's sense of security.
"It is curious that physical courage should be so common in the world and moral courage so rare." -Mark Twain
