Chiropractors really specialise in treating spinal problems similar to osteopaths and work mainly in private practice. There are differences in techniques and approaches between the two professions as there will be between individual chiropractors. Chiropractors and osteopaths are qualified and trained to practice spinal manipulation.
Physiotherapists tend to work more in NHS/hospital settings, as well as privately, and can be more generalist, and are unlikely to specialise in the back and neck.
It is probably more important to find an individual who you get on with, or who may have a special interest in your particular problem.

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