Glad to see you are interested in HP-UX!
http://www.hp.com/education/certific...structure.html
That link will take you to the HP-UX certification homepage, there are two paths, which are cummulative rather than dichotomous - in the sense that you will want to complete one (HP-UX certified IT professional) and then move onto the other (HP-UC advanced IT professional).
For most doing the first track is sufficient - it will take you through becoming a very competent HP-UX network and system administrator and for most employees that is more than enough. The advanced track will go into greater detail relating to HP-UX networking, operations, high availability and security. You might want to focus on just one or two aspects of this track, depending on where you interest lies, such as security (which is big nowadays) or high availability which has always been important in corporate (as well as other) environments.
http://www.hp.com/education/edu-cent...ters.html#ushp
Living as you do, in Portland, that link will show you the local HP education centres in the US where you can pursue a track in HP-UX certification. Sorry there don't seem to be centres in Oregon - but it's a good excuse to travel!
Hope this helps.
Regards.