the areas you mention are the ones that most clients talk about when they come to one of us for help. As you are looking for a personal trainer, here is my advice:
If the trainer promises you help with those specific regions, run the other way. While it is possible to ‘spot-tone’, it is not possible to ‘spot-reduce’.
The trainer should ask your health history, listen carefully to your concerns and goals. Be prepared that he/she may ask for a medical clearance under certain circumstances. You should then have a movement screening. Your program, if the movement screen suggests it, should contain recommendations for cardiovascular and strength exercises. Depending on the trainer you choose, nutrition and/or lifestyle modifications shoulde be discussed. Please note that it is usually beyond the scope of practice of personal trainers to provide a meal plan unless the trainer has additional qualifications.
I wish you best of luck on you path the health and fitness.