Hopewell is part of Richmond, the capital of the state of Virginia. From Hopewell, the center of Richmond is around 20 miles to the northwest.
You'll want to add the St. John's Episcopal Church, the Edgar Allan Poe Museum and the Museum of the Confederacy to your sightseeing schedule. They're just several of Richmond's huge range of attractions.
More economical establishments options include the Candlewood Suites Hopewell and Quality Inn At Fort Lee.
After a few hours of exploring, the family is going to need a decent meal. Daves Hamburgers is a reliable option in Hopewell.