Interesting. Didn't know that czy could be used to mean "or". I'm familiar with lub and albo.
Could "bin" should be included as kosz as is, or is it necessary to state in full "kosz do śmieci" to mean bin or dustbin?
„Kosz” is just general term, could mean anything from basketball to bin, but if context makes it clear Poles are frequently using only „kosz” to mean „kosz na śmieci”, yes.