New to Bellevue and the country. Libraries info

Please suggest for good libraries in bellevue. I was reading about library card on some portals but have no clear idea of what a d how much etc..

Any information in this regard would be great. I plan on walking in to a library nearby(newport). Will also talk to someone to figure out more but would like to know about other libraries around.

Also, can I carry my laptop in and work in peace for a while there?