Well, unless you have an AAS in EMS or a bachelors in something else, then you won't be able to get Oregon reciprocity. Double check on that, but it's what I remember.
If you are able to get reciprocity, you'll have a rather difficult time finding a medic job in Oregon. A lot of EMS is fire based here, and there are hundreds, if not thousands of applicants for the few FD jobs out there.
However, it seems that Rural Metro is hiring quite often, and MetroWest in the Washington county area seems like they've got openings every now and then. AMR doesn't hire very often to the best of my knowledge. There are a few other smaller private companies in the state, but those three seem to be the big hitters.