The best shapewear for slimming the hips and thighs is MID THIGH style shapewear. These come in two styles - cycling shorts (also known as magic knickers or body shapers) and mid thigh slimming bodysuits.
The best hip & thigh shapers have dig-free legs (no stitching, binding and often laser cut ends). This means they will lie flat on your thighs where they finish (rather than creating lumps and bumps!).