I would stay home. I was so happy I had decided that the last time. Once I was in labor, no way did I want to get in a vehicle.
The mess was not an issue. The midwife and assistant were very handy with the chux pads. We did end up with a black trash bag of laundry that wouldn't fit in the washer (740 ft apt, very small washer) which got forgotten about and stank. Luckily, it was the "throwaway" sheets anyway, so we threw it out. But if the same thing happens to you, I'd ask the midwives to write a big note about it and stick it somewhere like the fridge or the door so anyone can see it! We were so dazed and trying so hard to focus on the details of how to take care of the BABY that the "oh, and there's a load of wash here" did not sink in.

('Course, that was a first baby, maybe we'll be less distracted this time..????)
Follow Mothering