Ye gods, that's 48+ amps by itself. Even with "diversity" (not everything on full at the same time), I'm not sure I would share this cable with anything else.
Neither likely to be beyond 13A, I would have thought. You could connect these to the main kitchen ring, depending on what else is on it (is your CU really completely full - if not, run another circuit for these two alone). Every appliance should have a rating sticker on it somewhere. I did find Neff's uk web site singularly unhelpful, though.