I can’t get rid of this weird pocket of fat on my hips. Should I do liposuction or CoolSculpting?

Hello dear!
Thanks for the question and provided information as well.
Based on your pictures, you are a good candidate for standard liposuction, to improve your hips, and I think you'll get very good results. 
In general, you need to be physically healthy and at a stable weight, have realistic expectations, be a non-smoker and your BMI needs to be 30 or less.
I recommend you to make an appointment with a board certified plastic surgeon to talk about your goals and anything you need to know.
Good luck :)

Hello and welcome to our forum. When it comes to liposuction vs. CoolSculpting, it depends on how aggressively you want to tackle your fat deposits. Liposuction will produce noticeable results quickly, but you will also have to undergo anesthesia and a longer healing time. If you are a candidate for CoolSculpting, it can be a good option if you don't want the downtime associated with surgery, but you will most likely need multiple treatments. A consultation with a Board Certified Plastic Surgeon who has experience with both options can help you make an informed decision. Best of luck! 

Liposuction was designed to remove stubborn pockets of fat that aren't touched by diet or exercise.The condition is sometimes familial.
Non-surgical modalities such as coolsculpt will marginally improve the areas but to obtain a totally smooth contour I would recommend the surgical option by a significant margin. 
The procedure is relatively minimal and has a very short downtime.
Visit a board certified plastic surgeon for more information.
Best wishes...