Swelling of the fingers might be a sign of arthritis (inflammation). Pain and swelling of a single or several joints may be sign of a rheumatoid disease, but can also be a sign of many other diseases. Best way to find it out is to visite your doctor, get blood investigations and images. It might be important to find it out early to prevent further damage of your joints.
All comments about diseases or therapies can only be a general recommendation, but do not replace a personal consultation of your doctor. Although all comments are carefully considered, they can not be the base for the introduction of medical therapies.