I'm almost 48 years of age now, female, and I've been dealing with bursitis for many, many years. BursITIS is an inflammation of the bursa, you are correct, as ITIS means inflammation of....
With that said, ibuprofen, aspirin.....any of the NSAIDS
may help, if you do not have a history of ulcers or any stomach problems at all. If that does not help with the pain, and after most OTC medications have been tried, doctors will then try prescription medications, also usually NSAIDS. After that, the next step, depending on the doctor, would be NSAIDS combined with a possible narcotic pain reliever such as Vicodin. Next step would be sending you to either pain management or a D.O. to get an injection of steroids directly into the bursa. I went through this for a few years, not only for my bursa, but my entire low back as well. I can honestly say that they did very little for me, maybe taking SOME of the edge off. Other than that (oh, you can try icing it, too), not much to do. You do not want to remove the bursa and I don't know too many doctors willing to do that unless the bursa is completely shot. Even then, I'm not too sure about removing/replacing the bursa.
So, try the above.....NSAIDS, acetaminophen (which will only take some pain away, not inflammation as acetaminophen is NOT an anti-inflammatory), icing the bursa area, then moving on to either pain mgmt or a D.O. who can try steroid injections into the bursa. (This can take some time if you have an HMO, lol)
I can totally relate to not being able to walk up stairs and trying to get up after even just short periods of sitting. Also, bumping the bursa area up against something???.....I DON'T RECOMMEND IT, hahahaha.....it hurts, LOL.
Take care of yourself. I hope this helped you out some.