I too fight bursitis/arthritis by avoiding things that inflame me. Arachidonic acid doesn't seem to bother me so red meat and eggs are not a problem (though flaxseeds and eggs from hens fed flax inflame me), but grains, peanuts and other legumes cause rapid inflammation. 1-2T of peanut butter cause my old knuckle and wrist injuries to swell as if someone had hit me with a hammer.

Grain and dairy proteins also inflamed my sinuses, so avoiding them too allowed me do get off daily Claritin, Sudafed and NSAIDs.