Asking for advice on here is madness, particularly with regard to extraction, that's completely dependant on the individual case.
But if it's a periodontal issue then aren't plaque and ultimately tartar the big problems here? Proper brushing and flossing will certainly help. Interdental brushes are great for getting bits of plaque that you miss with the floss.
I would take professional advice and visit the hygienist to give them a right good clean
But yeah I wouldn't be asking these know it all fuckers.