Hey hi, based on the symptoms and the picture, you are likely suffering from Periodontitis (gum disease). The bleeding and receding gums happen due to tartar buildup under the gum line
Next Steps
You need a professional Scaling and Root Planing (deep cleaning) immediately to stop the infection. Please consult a dentist for a physical exam to check the depth of the gum pockets.
Health Tips
Use a soft-bristled brush and do not skip brushing because of the bleeding. Saltwater rinses can help with the swelling for now.