How to replace bottom plate on non-load bearing wall
That's pretty much it. You'll know when you start cutting the stud nails whether there's significant pressure on the plate (the saw will move instead of the blade, and you along with it--it's a fun ride with a reciprocating saw :) ). If there is, you might use a jack to (gently) life the ceiling adjacent. Pad it well and don't punch through your drywall. Move it barely enough to relieve the pressure.