I am flying in and out of IAD with my 4 kids in August and renting a car for 2 weeks. We arrive at 11 pm and plan on staying at a hotel for the night and driving to our destination 4 hours away the next morning. I have booked a car for pickup at DCA and return to IAD (inconvenient, but saves $400).
Are there hotels in DC that have complimentary shuttle to BOTH IAD and DCA so that we could take the shuttle from IAD that night and then I could take the hotel's shuttle in the morning to DCA to pick up the car and swing back to pick up the kids (don't worry 2 are over 18

) at the hotel?
I have read about the public transpo options but was hoping I could find a reasonable hotel with the perks I needed. Thanks!