they will run fine if not on the same breaker and it's a fairly dead circuit. Check how many breakers you have in your panel, does each bedroom have it's own? plug one into each room, I wouldnt run them both off the same plug.
I don't even know where my panel is (I haven't really looked). It's a 2 bedroom with a living room and kitchen so I imagine it should be fairly safe plugging in each one in a different room although I hope none of them are sharing a circuit with the kitchen. I'll look harder for that panel lol.