Scarborough is an ideal location as a starting point or a place to stay while touring the great Yorkshire Moors with its tiny villages and dozens of great pubs. You can drive up to Whitby, down to Bridlington, across the moors to the Yorkshire dales and even over to the wonderful old city of York, all within a couple of hours drive.
Car rentals and gas are expensive in the UK but distances between places are small so you can see a lot in one day. Don't miss Thirsk with its market square, old castle and best of all the museum home of James Heriot remember "All Creatures Great and Small" The house is an interactive museum, lots of fun for the kids and the movie set is still there. You can take your photograph sitting in the old car from the TV series.