if my husband abandons our family home is there any way to compel him to continue to pay utilities until I move?

You would be requesting from the Court that you are in need of immediate temporary alimony for the purpose of covering the household expenses as well as your day-to-day expenses.  The difficulty is whether or not your circumstances would warrant emergency and expedited attention from the Courts.  I would immediatley contact an attorney in your area to discuss the likelhood of expedited relief.