The Hotel la Catedral is a relatively new boutique hotel (just 14 rooms) in a great location just inside the old city and directly in front of the Cathedral. Pretty much everything you want to see and do in Cádiz is just a few minutes walk away. Despite a few specific problems I found it hard not to like the place, which had a generally friendly and comfortable atmosphere and very helpful staff.
Our room at the front of the hotel had a wonderful view over the plaza to the Cathedral, but lacked a table or anywhere to put the suitcase. The rooms at the back, which are slightly larger, have the extra furniture but lack the view. We also found the twin beds too narrow (just 80 cm though with good mattresses and pillows), and the hot water supply was unreliable. Upstairs there's a fabulous roof terrace with a little pool, though since it was mid-November we didn't take advantage of it other than to pop up and take some photos.
On the main floor there's a cosy breakfast room with a little nook that has a comfy sofa in one corner, and there's a bar next to reception that has a tapas menu and seating both inside and out on the sidewalk terrace. The breakfast itself was more modest than some of the rather wasteful-looking displays you see, but it was above average quality with excellent made-to-order coffee - a good start to the day.
Lastly, that almost universal complaint, the WiFi was really slow and, in spite of the website guaranteeing free WiFi, it really only worked in the reception area. We were told that they are working on changing this, along with a few other things (like putting desks in all the rooms) and it does seem like they are sincere about this. You get the feeling that it's still early days and that they are doing their best, and so I do recommend it for a short stay of a night or two.
Hotel la Catedral Plaza Catedral, 9 Cádiz Tel 956 291 142