I've always had bleeding gums and bad teeth despite meticulous care. My Dad had full upper & lower dentures at a young age. My Mom has a history of jaw bone infections causing tooth loss. One's teeth/gum situation is partly genetic.
I do know vitamin C deficiency (60mg/day as recommended by the FDA is woefully inadequate for gum health) can cause gum disease. I have begun taking Sodium Ascorbate (will soon be adding Calcium Ascorbate too, as I'm low in both sodium & calcium) and find my gums aren't bleeding quite so readily.
Sometimes when I eat foods I'm allergic to (raw apples are the most notoriuos offenders for me), my gums swell up and bleed...
So I think tooth & gum health is a combination of factors - diet (high sugar = bad for teeth/gums), nutrition (vitamin C, caldium, vitamin D, etc. - the "bone health" nutrients are required for healthy teeth as well), genetics (parents' teeth/gum health), and routine tooth/gum care (brushing both teeth & gums & flossing regularly, keeping up with more thorough cleanings at the Dentist office, avoiding letting acidic foods sit on your teeth - (e.g., brush after eating citrus fruits, tomato products, etc.), etc.), sufficient saliva production (saliva helps protect teeth/gums from bacterial activity), and yes - I believe Lyme promotes poor gum/teeth health due to interfering with many of the body processes that are needed for a healthy mouth. Lyme is known, for example, to mess up the immune system. Treatment for Lyme can also mess up the mouth's biota - Candida overgrowth (thrush), etc.
The best thing I've found for my teeth is an all natural fluoride-free (I'm allergic to fluoride...) toothpaste that includes essential oils for help with germ fighting. This toothpaste seems to reduce tartar buildup on my teeth better than any of the commercial toothpastes I've tried, and best part is I don't gag so badly when brushing with it vs. the commercial toothpastes.
I've read that Xylitol helps remineralize tooth enamel and also creates a barrier that blocks the bacteria from sticking to teeth. So I've gotten some Xylitol-sweetened chewing gum and use it from time to time (I probably need to use it more than once in a while to get the best benefit from it).
Chronic Lyme Disease, Bartonella (clinical dx only), Gluten & Sulfite Sensitivity, Many Food/Inhalant/Medication/Chemical Allergies & Intolerances, Asthma, Gut issues (dysmotility, non-specific inflammation), UCTD ("Secondary Lupus-Like Syndrome"), Osteoporosis, etc.; G-Tube; TPN via PICC (trying again to wean off the TPN).
Meds: IV Cipro, Heparin (to flush PICC line), Singulair, Claritin, Domperidone, Colloidal Silver, probiotics, digestive enzymes, Milk Thistle & other liver support herbs, Magnesium, homeopathy.