Welcome to the area! We moved here (Sherwood to be specific) from CA about 13 years ago and while it's definitley different (in a GREAT way), I love it here!
As far as pediatricians go, we see Dr. Craft at the Childrens Clinic in Tualatin. He has half a dozen kids himself (which includes a set of twins as do my trio of boys) and is absolutely wonderful. He always takes his time, answers your questions completely and you never feel like he's rushing you. My twins were preemie and Dr. Craft was great. He is very busy however and at times, hard to get an appointment with in a reasonable amount of time. I think ANY doctor at the Children's Clinic would be great. The Tualatin office is ###-###-#### and is located across from Meridian Park Hospital. They also have the Portland office across from St. Vincents at the 217-26 interchange. We don't have the need for a pediatric opthamologist so I don't know of any personally but if you visit the Childrens Clinic, I'm sure they will refer you to a great one.
Southwest Family Physicians or any of the Providence offices (depending on your insurance) is great for the adults. Providence in Sherwood (which is where I go) offers walk-in urgent care M-S which I really love. They also have a couple pediatricians we have seen when we couldn't get in to Dr. Craft and they are both good too but we always go back to Dr. Craft. Anyway, I know it's hard to pick the perfect doc but you have been given lots of great options so I think you will do fine. Welcome to Tigard! :)
Edited to add: Oh, and make sure you change your plates on your car ASAP. Apparently, Californians aren't welcomed by a SELECT FEW and we got a quite a few middle fingers and horns blown at us the first month or two we were here. Heck, by now, a good portion of the population here are transplants as well so you may not get the razing we got. :)