I tend to grit my teeth, take the lane, and just push through, as a general rule.
I know exactly what you're talking about with that segment of 19; not nice at all. I actually prefer the short climb up Bronx from Center to Highland, then down Highland to a left at the light on Perry Ave. Highland's busy, but at least it's got a modicum of shoulder, plenty of places to bail out if necessary, and is downhill to the light.
Of course, I'm coming down Center from Bellevue, so Bronx is a lot more logical for me than for someone coming up Perry Ave past Center.