Bursitis is always a symptom of something else. Always, always, always.
Bursae don't spontaneously inflame.
You can treat the bursa all you like, and they will feel better. But if you don't address the cause of your bursitis it will always come back. Always, always, always.
Sometimes the cause is chronic, and you just have to look at it as a regular chore like brushing your teeth. "I must always stretch and strengthen these things."
Sometimes it's transient, and you just have to work on it once. "I learned how to support my pelvis and hips properly, and it's been gone ever since."
And sometimes it's some funky structural thing that requires funky structural adaptations like orthotics or shoe lifts.
And for some really lucky folks, it's all of the above!
But everyone I've worked with has found cycling to be a good thing, and sometimes even a very helpful thing.
(including me)
"If Americans want to live the American Dream, they should go to Denmark." - Richard Wilkinson