I'm just a young college kid, but I feel I have something to offer here.
I highly recommend a PT over a chiropractor. PT's focus on the anatomy and physiology of all muscles and joints whereas chiropractors are mainly specialized in the spine and nervous system. A PT would be able to provide an exercise plan in a clinic and for you to do at home, and work with you specifically on your back and hip pain. Yes general exercise is greatly important for your overall health, strength, etc., but in order to deal with your specific problem, supervised exercise with a specific focus is the way to go. If you do go the PT route, ask about aquatic therapy. It has a lot of benefits and it's a lot more fun than going into a clinic for everything.
Yoga stretches for the back and hips could be great as well. Don't worry, not all poses are trying to turn you into a human pretzel. A simple youtube search on beginner hip/back yoga would give you some good routines to follow at home.
As others have stated, choosing a new carry position would probably help until you've dealt with the pain.
For what it's worth, I'm a senior biology major studying to be a PT and have worked in a clinic as a tech for almost 2 years. I have also been a chiropractic patient in high school and wish I would have known about PT more back then. Would have opted for that route.
Good luck.