I have rheumatoid arthritis (and Parkinson's) and eliminated gluten and dairy a few years ago. Although it is hard to tease out cause and effect, I think my RA symptoms have improved- no significant flares and I never restarted Humira after being off during an illness 18 mos ago.
I love bread and cheese and thought this would be very difficult. There are an increasing variety of non-dairy gluten free Foods. Turns out this is not so difficult. Products I use that I find to be widely available- Earth balance for butter, many non dairy cheeses including parmesan blocks (Violife my favorite), Oat creamer is like half and half in my coffee, many gluten free pastas, dairy free yogurts- cashew yogurt (Forager) is my favorite, gluten free breads (Canyon Bakehouse 7 grain is a good staple) and crackers. I try to minimize any sugar and processed foods. I think I could improve nutritional quality and taste if I learn to bake my own bread with gluten alternative grains. Anyway, eliminating dairy and gluten is a manageable step you can take which may improve your health and quality of life, as long as you are otherwise continuing to eat a nutritious well balanced diet.