Hi With your query, bleeding gums are coz of poor oral hygiene where gingiva is completely inflammed and leads to bleeding.it is always better to go for thorough scaling and do proper brushing (specific brushing technique ask your dentist) will stop bleeding if it is only gingivitis. If it is a periodontal disease then you need to go another protocol of treatment followed by scaling on clinical examination if needed periodontal surgery too. Always rinse your mouth after food. No need to be on mouthwashes for longer periods with vitamin tabs rather i would check for the cause and eliminate the etiology with proper oral hygiene instructions will do a great job.Hope this is helpful. Continous use of mouthwash especially chlorhexidine is not indicated unless it is mandatory.Hope this is helpful