Tempest has been intimidating for me for a long time because I have arm trouble and the cross in the second movement I thought would be prohibitively difficult.
It's not. Once you get the shape of the movement, the alternating octaves in the proper rhythm, it's really lovely.
I think the first movement has no major challenges but requires the usual attention to what he's doing and how he does it. My piano has an overactive bass and so all those melodic lines on the chord in the development are a thing, as is the final left hand broken d minor chord, which is a little awkward anyway.
The last movement seems to me a perfect example of the perplexing role of the pedal in Beethoven. I think it's too dry without some pedal, but really only rewards a brush, not a wash, and those brushes have to be applied very carefully. I try to start with no pedal and only add as necessary, and I think some is necessary here, I perceive that as a step in the evolution through the pieces.