While most of Yellowstone is located in Wyoming, parts of the park also creep into eastern Idaho and Montana. If you wanted to visit this park, you might still have to drive a decent distance, depending on where your new home is located.
Alternatively, you could visit Craters of the Moon National Monument and Preserve in southern Idaho. While this nature preserve doesn’t have the same options for hiking, camping, and exploring that Yellowstone offers, it’s still a beautiful preserve with a lot to offer.