I stayed there once many years ago. If you are travelling with an elderly person Tzfat in general is difficult if there are mobility issues. The hotel itself does have a lift, but I do recall there be many steps as well especially in the lobby. In terms of features after just taking a glance at their website and pictures, it doesnt appear to have been renovated in the 10-15 years since I have been there, but it is centrally located with a good breakfast and a lovely pool if you are there during the summer.
You might want to look into places like Hagoshrim or Kfar Blum just a little bit to the north.
I have stayed at the Ruth Rimonim hotel. I did like that property. It has plenty of "Tzfat ambience.". However, I do NOT recommend staying in Tzfat for elderly people, especially if one has mobility challenges. Walking in Tzfat is difficult, due to the mountainous terrain. Furthermore, Tzfat is a terrible base to use for touring the rest of the Galilee region. If you stay in Ruth Rimonim, I'd limit that stay to one or two nights at most, just to soak in the Tzfat atmosphere. Use another location in Galilee (preferably one of the kibbutz hotels) as a base for touring the rest of the northern region and use a car to get around.
I stayed there, it's an old Ottoman military base and is full of charm. I really liked it. The only issue was the staff, who did not care much about customers; I think that the hotel was bought by a big hotel chain and they have little interest in doing a cozy atmosphere. I would stay there again though. Double check with the hotel but I think they do have some rooms which are easily accessible.
Have stayed there several times. It's a lovely hotel but requires walking up and down steps or up and down a steep hill. There are a number of small boutique hotels but accessibility will always be via cobblestones and steps/steep hill(even if short). If this is not a problem I would go for Ruth Rimonim in the older rooms(not the newer building).