We don't have any family in the area, except for DH's cousin, who works, has three kids, and whose husband is a pilot and out of town a lot (although my DH also travels Monday through Thursday every week, too). It's been stressful to think about what to do with DD#1, because I don't want to impose on anyone. She has generously offered to be available when I go into labor and take care of DD. I feel really badly if I go into labor when her DH is out of town, or in the middle of the night when she has to work/get her three kids ready for school the next day. But honestly, I don't have any other options. I am so grateful for her generous offer. I'm just hoping my DH will be in town when it all happens!
We would drop DD#1 off at my cousin's house when we're leaving for the hospital. It's out of the way, but I'm not going to ask our cousin to pick her up. Luckily, she has an extra car seat, so we won't have to leave one. I am hoping to be out of the hospital by 24 hours, so she won't have to stay at our cousin's too long and inconvenience her. Depending on when I go into labor, DH will go home after I deliver and get DD. He would also sleep at home with her, if I deliver during the day.
I would have your DH approach his parents, since they seem to be the most viable option (even though they both work).