I moved from Maryland to California back in the late '90s. I am sure that costs of everything have gone up, so my numbers are probably worthless. Also, I got a relocation bonus from the company that hired me in California, so I didn't need to be extremely frugal. I moved after 4 years of working, and I was married. If I had relocated right out of school, my costs would have been almost nothing. So here's how I would do it:
If you are trying to keep moving costs down, don't bring a whole lot with you. Don't accumulate a lot of stuff. Sell your car before you go. Decide if you need a car once you get to your destination. (I know Portland very well, because my mom lives there and I lived there for a couple of breaks during college. The public transportation system is one of the best in the US, and it is a very walkable city as well.)
Basically, you are going to balance the cost of moving stuff versus the loss of selling "old" used stuff and then turning around and buying "new" used stuff.
Things to think about:
1) Moving company - hopefully $0.
2) Car transportation - $0 if you sell it or the cost of driving it yourself
3) Losses due to selling stuff and rebuying it when you arrive - impossible for me to guess
4) Rental truck - with/without car trailer - call Ryder (I hate UHaul)
5) Cost of temporary housing when you arrive - call up Residence Inn or similar or look at Craigs List - estimate two weeks
6) Cost of round-trip airfare plus housing for a week to check it out and do research. Trade-off against 5).
7) Any normal expenses that you would have when switching your place of residence - you have probably done this locally, so you can guess. Apartments will probably cost more than where you are now, so you will need more for "first and last month" than you are used to.