Day Hike Recommendation for UK Vacation

My wife and I are planning a hiking vacation in the UK and are looking for the most spectacular trails!

A little about us: We are from Montana and comfortable with strenuous hikes. We also don't mind driving long distances (6+) hours) to reach our next destination, so feel free to recommend hikes across different regions! That said, we'd love to settle in one place for a few days at a time. to truly enjoy the area - after all, it is a vacation!

If you have any recommendations for great hotels or restaurants near these hikes, we'd love to hear those to!