Any ideas on how to make the gum swelling go away and take the swelling down?

See your dentist: Swelling around you gums means that there is an infection . You need to see a dentist for this. In the meantime it is important to brush, floss you teeth and use a mouthwash to help remove some of the debris in your mouth.

See a dentist ASAP: Bleeding and swollen gums can be a sign that you are at risk for, or already have, advanced gum disease. Untreated gingivitis can lead to the tooth loss and other health problems. See your dentist ASAP because the sooner you treat it the better the outcome.

See your Dentist: Gum swelling may be from gum infection, tooth infection, allergic reaction, trauma, or other causes. Dentist will determine actual cause and recommend the approprate treatment. Applying the wrong treatment can do great harm, so examination and differential diagnosis mandatory.