I'm actually moving out to Denver at the end of July from New Jersey with my sister and friend...so I've been planning our road trip. I have two dogs and my friend has one dog so we are going to be camping out a lot and stopping at a lot of state parks.
I'm going to take a more northern route---drive through PA (you could drive through upstate NY--that would be a pretty start to the ride)--Ohio, drive north to see the Great Lakes, stop in the college town of Ann Arbor---spend a day in Chicago. We are Green Bay Packer fans, so we are driving up there to see that---then stopping at some lakes in Minnesota.
Also, there are a lot of cool things in South Dakota to check out---Badlands National Park, town of Deadwood (old gambiling town with Victorian style home), Black Hills National Forest, Mt. Rushmore, Crazy Horse Monument, and Custer State Park (lots of buffalo!).
Good luck with your move!