You can try the update:
http://support.apple.com/kb/dl907 before or after the manufacturer's drivers on the website. If neither works:
Recover your backup before the installation. There is no guarantee software will continue to work after an upgrade unless the manufacturer sends updated drivers after the update.
10.9.2 is a good version of 10.9. If your Mac came out before 10.9's release, it is better to run 10.8.5 than 10.9 due to security issues with 10.9.0 and 10.9.1.
And contact HP and let them know they need a 10.9.3 driver update.