Congratulations on moving to Portland!
There is lots of solid advice here so far on this thread. I agree that finding a month-to-month rental at first would be the way to go. In the market up here, you can't expect to buy a property quickly; let alone find one that's a deal. Renting first would give you time to get to know the area as well search for properties.
You can find a duplex on the outskirts of town for $280k; I recently purchased a completely remodeled duplex in Oregon City for $280k I have great tenants and it is cash flowing nicely. It's only 30 minutes to downtown Portland, which is nothing if you're coming from LA. Zip code for Oregon City is 97045. I would also consider looking into these zip codes: 97018, 97267, 97222, 97068.
I personally would not want to live in Vancouver. While I do think you'll see some nice appreciation in the long run, the traffic is simply unbearable if you have to commute to Portland everyday. My colleague lives there and is constantly stuck in traffic and late. Last week the bridge was blocked due to an accident and she just couldn't even make it into work at all.
I hope this helps and please let me know if I can help any further, good luck!