The Warrior has a significantly higher aspect ratio wing compared to the PA38 which means the glide performance is better.
I have seen quite a few pilots end up "hot and high" on finals on a "powered" approach.
Although she will cruise quite nicely at 110 kt (give or take) I would recommend a circuit speed of 90 kt (2100 rpm) as a) you won't be catching up the PA38 in the circuit ahead but b) more significantly you have 20 kt less airspeed to lose when you start the approach.
Generally speaking I recommend/teach to initially close the throttle completely on base leg (whether powered or glide), take two stages of flap and aim for 70/75kt. When you have got the speed/attitude pinned then you might need a little power (circa 1300 rpm) to maintain the profile. Take full flap on final and fly the approach at 60-65 kt plus or minus wind increments.
Hope this helps - she's a great a/c to fly so enjoy!