The easiest way to order parts is to already have the part number in hand.
For that you want to go to one of the online sources that make this available.
Real OEM is my personal favorite. It let's you cut and paste the part number (handy for dropping it into Chicago BMW's price searcher).
For the later R65's ('85-'95) you want to use the 'Current' Archive, as opposed to the early models, which for some reason are grouped with the pre-1970 models in the 'Archive' Archive. But the easiest way is to find the last 7 numbers of your VIN and plug them in in the appropriate field.
Max BMW is also a good one. Their pictures are reverse color (white on black), which is a little weird, but if you zoom in, it reverses back to black on white. They also have a VIN entry field and cut & paste ability.
A&S has their own version, but it is not only less user friendly, I don't even see an entry for the '85-'95 models.
My personal favorite is the paperback Parts Book that you can still get by special order (I am also a book collector...). I bought mine about the 2nd year I had the bike. Capital Cycle has them for up to 1984, after that you will need a fiche reader.
But
Mark Huggett in Switzerland has them, with the appropriate rate exchange and shipping.

If you are new to BMW's, you may find that the majority of the
motorcycle dealers don't really want to give the airhead riders the time of day. There are exceptions, of course, and if you are lucky, you live as close as only 50 miles from one.