I hate to burst your bubble but in my area neurologist usually dont TREAT bulged discs. They test for the effects of the disc on the nerve and then make referrals and recommendations. So dont be surprised to get a bunch of tests and another referral.
The people who treat would be spinal specialists (ortho/neuro surgeons), pain management, physiatrists, physical therapists and chiropractors.
Decompression tables, McKenzie therapy, epidural injections, Cox and other chiropractic treatments all work very well on bulging discs.