i like clean lines and a modern aesthetic.  i'm drawn to logos that have either a combination of handwritten font with a type font, or bold and unbold.  i'm not sure if the logo should have a willow in it or not. if there is it could be a sketch of a willow vs a literal depiction.  the logo should definitely have the color blue in it somewhere. i prefer a greener blue (more toward turquoise, but still on the blue end). i would like the emphasis to be on the words "blue" and "willow". "design" can be a second line or secondary emphasis. 

Blue Willow Design