Napping baby?

Where do you put your baby to nap? My little girl is almost 2 months old and she'll usually nap downstairs in her swing or in my arms, but sometimes I need her to nap in her swing because I need to get things done. But lately she won't fall asleep in her swing.. she'll only fall asleep in it when it's dark and it's not dark in our living room. I want to move her swing into her bedroom because she has black out curtains but I'm scared to be away from her while she naps..