As the roads go, Kenmore is just on the western side of the lake (its actually right above it, but there is a huge deadspace to the south of residences), you keep going that way and you are quickly in Seattle. If you go along the eastern side of the lake, you are basically in Kirkland which abuts Bellevue.

Bothell is basically equidistant from Seattle, Everett, and Bellevue (I was living in Snohomish County, so closer to Lynwood and Everett), basically under all those cities's influences.