Lots of times I would plug in my headphones and move to the groove, but I found that my headphone cable would always get caught on something. I would then just hook my phone up to some speakers and problem solved, until I needed to pack them!
If I used movers I would always play my music in my apartment on the speaker for them. I'd ask them what kind they preferred and played it for them. You could tell they really appreciated the gesture. Happy movers, happy move, happy me!