Heh, neighbor, I'm not so far from you. I live near Lake Merwin in SW WA state, about 45 minutes or so from you. Portland is a very chicken friendly town and even has their own chicken discussion group. I was a member for awhile but they focus on the issues of urban chickens and I'm up here in the country, and BYC is really a nicer group of people overall and a much larger group of people. 
We need to think about birds that are good in a colder climate here. You can just go to the feed store in spring and don't have to order chicks online or anything like that. The store will have birds that are good for our climate. I believe you can have three hens where you are, no roosters. But people sell their roosters off or give them away on the Portland's Craig's list. Or process them. Your call.
You will like having chickens more than you thought! We loved starting with chicks because they were just so darn cute.
If I could only have three I would maybe think about egg color. We like our Buff Orpingtons best so I'll recommend them, they are calm and lay pinkish brown eggs. We also have rhode island reds and they have very good egg production and a nice brown color to the eggs that everyone seems to like. And I'd get something that laid green or blue eggs too because that would be so fun to have tri-colored eggs. 
You can easily make a small coop from recycled materials, especially for just three hens. There is a lot of advice on here how to do that. You would not need much space for just three. 
We also like using sand in and around the coop because of all our rain. The chickens will stay in the coop much more time when it is raining so plan your coop large enough for them to be comfy even if they were stuck hanging out. Put your stuff in different areas, water away from food, food away from roosts, roosts away from nests. With three birds I'd maybe just have one large nest. We have six nests and 17 hens. They usually will have a favorite and six or seven eggs will be in one nest. They kind of like to lay where other eggs are.
If you look on Craigs list there are some real cute coops that people make, if you don't feel like constructing something yourself. We fence our chickens in because of where we live and I'd make sure no neighbor dogs could get to my chickens if I lived in Portland.
Welcome!