DH & I will be in Madrid early August 2 celebrate our wedding anniversary and are looking 4 advice on hotels - 4 nights in town + 1 last night @ Hilton Airport using reward points. Hotel selection is overwhelming - don't really know where 2 start!

To frame my request, we have the following constraints: DH is in his 80s and has some balance issues; we both have heat-sensitivity issues. We need a lift at the hotel, grab rails in the bathroom, and a really decent bed.

Hotels I'd consider... unless u advise other places that would be more appropriate:
1. ME Madrid Reina Victoria
2. H10 Villa de la Reina
3. Hotel Preciados
4. Intercontinental Madrid
5. Catalonia Centro
6. Westin Palace Madrid
7. Petit Posada Del Peine
8. Wellington Hotel
9. NH Lagasca

my max is 500e for all 4 nights.
we would like to see the Palace, cathedral, hop on/off bus, cable car ride, monastery,walk thru a park or literary Madrid (if not too hot), maybe an art museum or two. just soak in the atmosphere - eat tapas & drink Cava, most importantly - get to the bullfight! (so if you have any advice on when/how to get tix to the Sunday night bullfight, and where to sit (baja sombre?) please LMK that as well.