Chatsworth ( house and grounds ) easily a full day.
Only if you have the energy. By early afternoon, I was "stately homed" out at Chatsworth, and left. I did see all the house, but missed a lot of the gardens, so I would love to come back for more, but I can only see so much before my mind starts faltering. But it was extremely gorgeous and definitely worth a visit! If you do visit Chatsworth, stop by Bakewell and have one of their famous Bakewell puddings at the Old Original Bakewell Pudding Shop which is very close by. Just make sure it's not Market Day, as the town gets extremely crowded and it is very hard to park.
Eyam: I spent about 2-3 hours here, and part of that time was spent at a cafe. It's a very small town, and seeing the houses with the plague signs does not take long. The museum was interesting but small so I did not spend a lot of time there. The church also has a few graves of plague victims. If you start at the church, and then walk down to the musuem, the houses are right along the way. You will also come across a little area that calls itself a Craft center (or something like that), with a very cute shop there, and a nice cafe. And if you do go to Eyam, you could visit the nearby village of Hathersage. The churchyard there (St. Michael & All Angels Church) houses the grave of Little John of Robin Hood fame. There is a sign that will direct you to the gravesite.
Another quaint village worth seeing is Hartington. The village itself is quite charming, with many very old stone cottages. There was a lovely cheese shop that had some great local cheeses. I also recommend The George for a meal. I had a Sunday Roast lunch there and it was delicious!
Peveril Castle is worth the very steep hike up there, I could not make it because it was closed almost every day I stayed in Castleton due to rain and high winds. but it is an interesting ruin. Castleton itself is wonderful—I was there for 5 nights and loved it. If you get a chance, check out Winnats Pass, which is drop dead gorgeous. You can hike up the side of it if you like or just stop and gaze.
Lastly, I don't know where you're coming from, but if it's from the east, you could stop at Lyme Park (National Trust) that is a beautiful property in Disley and well worth a visit. The gardens were just magnificent and the house was really lovely. It was the setting for Pemberley in the Colin Firth "Pride and Prejudice" series.
One last thing, I wrote a trip report for my 5 1/2 week trip to England a couple of months ago, but also had a personal blog that I kept while traveling. I was in the Peak District for 5 days, so you're welcome to look through and see where I went. I did have lots of rain when I was there, and got flooded out of places once or twice, but still managed to see a lot. Here is Day 17, which was my first day in the Peak. https://mostlytraveled.wordpress.com/2024/04/08/day-17-goodbye-liverpool-hello-the-peak/
