Right, Rock Cottage. It's in Birchover, which is a small village in the Peak District. It's detached, so no neighbours through the walls. You get two bedrooms, but it's really set up for two people. The extra room is there if you need it, but it's quite a compact place.
The cottage has a 4 Star rating. It means it's comfortable and well equipped. There's a wood burner, which is good for chilly evenings. WiFi and TV work fine. Bedding and towels are included.
You can bring one dog. There's a patio area out the back with a bit of garden. It's not huge, but it's a nice spot to sit out.
The village has a pub about 500 yards away. They do food. The nearest shop is a mile away in Youlgreave, so you'll likely want to drive for groceries.
You can walk straight from the door onto the paths. Stanton Moor is right there, and the National Trust Peak District page has good walking ideas. It's about a 20 minute drive to Bakewell. Matlock Bath is similar. Chatsworth House is probably 25 minutes by car.
If you want to plan trips, the Peak District National Park site is useful.