If you have periodontal disease, the peroxide doesn’t do any good- it doesn’t reach the anerobic bacteria in the pockets- brush and floss- mechanical debridement works best, see your dentist regularly.
I live in Southwestern Alaska- generally fairly temperate in the winter, comparatively speaking- This winter has been 6 months of at least 20 degrees below normal every day- today it’s minus 4 with a windchill of minus 25- at $6/gal for heating oil, we could use some ‘warming’.