Caring for Brass vessels and lamps!!
I had the same problem and searched the net for a solution. If the coating is coming off, the easiest way to refurbish is to wash it really well and use brasso and polish it. Brasso has oil as one of the ingredients which will prevent oxidization due to exposure to air. It is not a one time solution though. You will probably end up polishing your vessels and lamps once in 6 months or more depending on how often you use it and wash it.
You can avoid polishing so often by wiping the brass items with a little bit of olive oil after washing.
As far as the alternative to brass pooja items is concerned, I found it easier to take care of silver items (valli) than brass.
Ofcourse, you will end up polishing that one too with its polish (Wright brand I guess)
Bye,
CI.