I'm not sure on what kind of hoops you need to jump through for NZ, but I imagine it's quite similar to AU. We just migrated to Australia this year. You're right that it doesn't matter what country you come from. It's based on what kind of work experience and education you have if you're applying for Permanent Resident. If you're planning on making it a long term or permanent move I'd recommend going with PR if you can.
This site is probably very helpful for New Zealand:
http://www.immigration.govt.nz/migrant/
There is a Yahoo Group for people migrating. I suggest researching your questions before posting because if you're asking something with an obvious answer on there no one will answer you.
To visit your group on the web, go to:
http://groups.yahoo.com/group/AustraliaNZMigrate/
Word of warning... if you have a straight forward application it is easy to do it yourself. We did and had no problems for Australia. If you do decided you need to use a migration agent check them out first because there are some bad ones out there.