Installing outlet receptacle in unfinished basement furnace/water heater room




Recently bought a house with a furnace/water heater utility room in the basement surrounded by a bedroom and playroom space. We just had a water filtration system put in this room that requires a plug. I thought it was really odd that there was no outlet receptacle in this room. My plan is to piggyback off the bedroom receptacle, but I want to make sure that there's nothing in the code about not putting receptacles X distance from water heater or furnace. I'm tracking that it's unfinished basement so the first outlet of the double duplex needs to be GFCI. Am I missing anything? Thanks!