Hello. Sorry to hear about the divorce.
In your position I think my first question would be: what do I want my lifestyle to be, and is my former marital home the best place for me to live that lifestyle? If you have kids that's a good reason for staying put, but if you are newly single and without kids is a prime family area really where you want to be? (Also, is it where someone wanting to rent a room is going to want to be?)
Generally speaking single family homes do not make the best rentals - the upkeep is a bugbear and value to rent may not make sense either, although this depends on your locality.