You mean the thirds a few bars in? I take the first few rh alone (while the lh is still needed), then when it goes into that long run, I take it with 2 hands. Probably cheating a little but it sounds better ;-) And its alot easier so I can play around more with dynamics and texture there.
Pedal- there's little places all over the piece that I would use and would take ages to list, but in short... As little as possible, only when really needed for sound and legato lines and stuff. But if the passage can do without, dont use it.
The third mvt is so much fun up to speed, believe me! There are still little things here and there that I need to touch up but otherwise... I've finished the sonata! Yay.