I would recommend some lunge lessons too. This way you will be able to concentrate fully on your seat rather than on where your horse is going too.
You really need to feel your horse's movement.
Remember to keep your heels down. Try to put as much weight into your heels as possible. You also need to relax and try to distribute your weight evenly. Don't lean back and think tall. You need to sit straight, not slouched and also imagine sinking into the saddle all the while remaining tall and proud.
The more relaxed you are the more your pelvis and seat bones will be able to follow the horse's movement. If you tense, then he will tense and hollow his back, making sitting to the trot very uncomfortable for both of you.
If you are not confident to try riding without your stirrups, then try to keep them long and don't grip with your knees
Hope that helps!