How can I move a non load bearing wood frame wall?
If you have a reciprocating saw (aka "Sawzall") with a metal or demolition blade it should make short work of the nails.  Make your cuts at both ends of the vertical studs, between the stud and the header/footer.  Once the nails are cut the vertical studs should come right out.  You can probably just use a pry bar to pull off the header.