Well, nearly 3 months and a payment later, I have been able to acquire that very debut album. Considering how obscure the name was (didn't even see her on "Japanese City Pop"), I thought "Style" was gonna be something that I could only admire online. However, the good folks at CD Japan actually had it on sale.
One of the other tracks on the 1988 "Style" is "Coltrane de Aishite" (Love Me By Coltrane) which also served as Kimura's debut single (presumably in the same year). Written by Reiko Yukawa（湯川れい子）and composed by Shigeru Suzuki（鈴木茂）, it's a fairly dreamy ballad involving rain, hotels and jazz legend John Coltrane...about as atmospheric as a romantic City Pop tune can get. Kimura's vocals get all breathy to the hint of bossa nova as she gets into the torch song of it all. At the beginning of the imported video above, there is a picture of the singer as it was taken on the cover of the debut single, and I think she had that look which was a mix between Chisato Moritaka（森高千里）and Akiko Yano（矢野顕子）.
As for the rest of the album, "Style" keeps it nice and urban contemporary for the most part except for a cover of the Yuki Okazaki（岡崎友紀）hit "Do You Remember Me?" which also happens to be the B-side to "Coltrane de Aishite". Probably if I were to relate another Japanese city aside from Tokyo to the album, it would be the resort area of Hakone.