HI There,

Very rarely would someone get equal Wikipedia reference-linktennis elbow in both arms at the same time, especially with the sensitivity and ease of aggravation that you describe. I would strongly suggest getting a thorough physio to examine your cervical (neck) spine and upper thoracic spine. You may find (and i have seen this before and successfully treated) treating your neck with manual mobilisation, deep neck flexor and postural retraining, and possibly some gentle intermittent cervical traction (applied by the physio) may help significantly. The anti-inflammatories may continue to be useful but you should seek medical advice regarding long term use.

If you have a problem in both arms at the same time with the same symptoms, triangulate and you'll most likely find the real source of the problem is central (ie, neck, posture, irritation of disc&/facets and nerve roots in your neck). You should find reasonably fast results with the right treatment plan

Hope this helps,

msk101