The squat move supports the gluteal muscles and lower body stability. The key to the move is keeping your core muscles engaged and posture neutral as you bend down. Do not hunch your shoulders as you move forward balancing right and left sides and let your knees move laterally as they would naturally. Then push up from the heels with your feet flat. When you get completely upright contract your gluteal muscles.
With the leg press you can do single or double leg as long as you adjust the weight accordingly. Keep your feet flat against the platform. Visualize using your gluteal muscles rather than your quadriceps and lie flat facing up not toward the plate. Pick a light weight for 12 reps for warming up, then 6 to 8 at your maximum.