First off, keep going to your dentist/hygienist for your periodontal maintenance! Don't skip that. It really is important to keep under the gumline clean AND smooth.
Going Paleo, especially moderate or lower carb Paleo, should definitely help. Overall inflammation in the body, and particularly in the gums, should be reduced. If you can eat cheese, especially the harder, more aged stuff, do try to eat an ounce a week. It's more than just the calcium - think enzymes. Oils are also good - you may want to look into oil pulling. Google it, or search it here. Anything that's good for your skin and bones is also good for your teeth, so eat up on the bone broth, too. Take it easy on the super-acidic stuff, though on a Paleo diet that pretty much takes care of itself (soda, the horror!)
When it comes to oral hygiene, make sure you are using a SOFT toothbrush and using it gently. Only soft. Never medium and for the love of all that is bacony, hard toothbrushes should be illegal. Soft is nice and gentle on those already irritated and inflamed gums. Also, look in to a Waterpik. They're amazing. They get places and angles floss just doesn't get, you can get more enthusiastic with it because it won't cut you like floss can, and you can use a periodontal rinse in the water to give yourself a mild irrigation at home. Ask your hygienist which rinse you should use (chlorhexidine is often a good choice, but not for everyone) and at what concentration. Doing this even once a week, and just using regular water the rest of the time, will work wonders. If you are averse to using a chlorhexidine or other rinse, the Waterpik is still worth it.
(I'm a dental professional, and also a perio patient.)