What does a burning sensation on hands and feet mean?

Most likely: Neuropathy of the nerves (inflammation) had multiple causes, check with your doctor..

Nutrition: Fatty acids lubricate body - deficiency of these, esp choline results in burning pain - use phosphatidyl choline, vitamin b complex (b3, b6, b12), essential fatty acids, vitamin d3 to relieve these. Body if it is acidic state causes these burning feel - check your urine pH and make sure this stays between 6.8-7.4 if not use aloe, greens, vit d3 to normalize ph.