What shape will fit my body? Lats hips or both? Shelf or slope? Round or heart shape? (Photo)

Thanks for the question. 
In this regard, I recommend you a Tummy Tuck to get a flat abdomen and waist and back Liposculpture, getting better curves especially in the waist, improving your body contour.
Finally, I suggested take the fat we get and transfer to the buttocks and hips, to mold them and get better volume, contour and butt projection, is that we know as "Brazilian Butt Lift" (BBL).
Kind regards,Dr. Emmanuel Mallol Cotes.-

Hello dear!
Thanks for the pictures and provided information as well.
Based on your photos, you are a great candidate for 360 vaser liposuction and tummy tuck, to give you a nice tight tummy and get rid of the extra skin. Along with the tummy tuck, liposuction allows your plastic surgeon to transform your entire shape. You improve your waist, back and flanks.
It is important that you communicate to your board-certified plastic surgeon what are expecting, to make certain that your goals are realistic. It's helpful to show pictures of results you'd like, but please keep in mind that these are other people and your body is different from everybody.
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.
l 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 :)
Dr. Luis Mejia.

Hello, thank you for your questions. Based on your photos it seems like you would benefit from a Lipo/BBL and a Tummy Tuck. Your best option would be to consult with a Board Certified Plastic Surgeon in person. This consultation will allow a surgeon to provide you with a more thorough examination and provide you with more accurate opinions based in the examination .