InSights is a good place.
The Firearms Academy of Seattle is also good.
The Firearms Academy of Seattle
I haven't done any classes at InSights but hear a lot of good things about them. I have done almost all the pistol class 2 times at FAS. The have very good instructors and the range facility is excellent.
You should try shooting an IDPA match. Lots of fun, no experience necessary, and great practice. You get to draw and shoot, sometimes while moving and at both stationary and moving targets. A lot of stuff you can't do on most ranges.
I just shot a IDPA match today at FAS. Massad Ayoob was there and it was cool shooting with him. I'll have videos up tomorrow.
What are you looking to improve on? If its something I can help with, we can go shooting almost anytime.