I’m not sure many, if any, hotels offer day trips in Edinburgh but as mentioned there are several reliable companies that do day trips around the area.
I stayed in 2 different hotels in Edinburgh in June/July. The 1st hotel was Ibis Styles St Andrew Square and was recommended by forum member Mardee. It’s part of the Accor chain. It had one of the best breakfast spreads I’ve ever seen including salmon and eggs! The rooms were a bit small but for me the location was great. lovely, helpful staff and Excellent restaurants on the square as well. I would stay there again. If you choose this hotel book directly on the Accor app. I got sidetracked onto a looks-official website which was charging more than 1 noghts stay as a booking fee. Fortunately I caught this and was able to cancel and rebook on the app.
Coming back from Shetland I stayed at Parliament House Hotel. The elevator was broken to my 4th floor room and from reviews on Trip Advisor it looked like this was not a new problem. I also don’t think the elevator actually went up to that floor anyway, lol. The room was giant, staff was very nice. I probably would not stay here again although the location was fine.