Alex
Pretty much the same, as the airframe is very similar.
Ways to mitigate the balloon
1 - put out the first stage, let her settle down and then add the second
2 - read the POH and pick sensible airspeeds to take flap, remembering that the Piper flaps are not so draggy as the Cessna Fowler types and that two stages is the setting used for short field take offs, so it gives a lot of lift
Otherwise the Archer is a pussycat and the extra 20 or 30HP (depending on whether you flew a Warrior or Warrior II) adds a little extra cruise speed and climb performance.
Final point, the Archer III has a lowered roofline, so keep a specially good lookout upwards.