I don't come here often, but I do own and fly a PA28 with later type wing (not the old Hershey bar which behaves differently).
Successful landing in moderate wind conditions is a simple matter of following the advice in the POH. Approach speed about 70 to 75 depending on weight with two stages of flap, over the hedge at 60 to 65 with third stage of flap close the throttle, round out, flare slowly and if you have it right it'll touch down as the stall warner starts to chirp and the control column comes full back.
Approach any faster and it'll float for miles.
In gusty conditions cross wind or otherwise it's wise to add add about half the difference between the steady speed and the gust speed and it will land in cross winds well above 20kts like that.