If you can access the printer from your (home) network and your Amiga is connected to your network, then all you need to worry about is the printer driver. Modern printers usually have a PostScript mode that you can use with Final Writer, PageStream, and GhostScript, (and OS4.1 PS driver) and most HP inkjet printers work fine with older drivers.
Not that I've had time to try it yet, but I assume this works with 3.9 as well? I've got over a dozen networked HP 3xxx and 4xxx series printers at my office, and my A2000 is connected to the network there just fine... just need time to try it, I suppose!
