What specific exercises would help bursitis of the suprapatellar?

Bursitis, tendonosis. Quadraceps tendonosis and other tendon/muscle disorders of the anterior knee and thigh tend to respond well to stretching and closed chain exercise programs. With a suprapatella bursitis there can be fluid in the bursa which sometimes requires aspiration or more rarely surgery. Consultation with your physician will most likely result in a reasonable treatment plan.
Stop over use first. Age matters and injury history... I feel it is best to work through your doc, and physical tx dept for a taylor solution.