All DVD players can play commercial dual layer, as probably about half the films sold on the format are dual layer. I assume this means they are fine with dual layer DVDRs as well, although I've not tested it.
I suspect its the + and - thats more likely to catch you out. To clarify in case you don't know, there are two different types of DVDRs you can buy, +R and -R. There are also DVD Ram disks, but these are more or less dead. Many DVD players sold now can handle any of the formats, but some can only handle 1 or 2 of them, and in these cases, you need to buy the right media.