I have the APC Back-UPS BN1250LCD and the HP LaserJet P1005 Printer.
APC makes excellent gear, and that's a particularly good UPS for SOHO use.
On the back of it there are two outlets marked "SURGE ONLY" and bear ideograms of a printer and what looks like a scanner. If your printer is plugged into one of those ports, then it isn't backed up by the battery and won't kill the UPS.