Because I'm a lolicon. :3
The girl I noticed first and that originally drove me to get into this game was Ryuujou, especially when I noticed her in cute things like this.
Eventually, I took notice of more of the destroyers, and I had a friend who played the game and whom was obsessed with Shimakaze. He and I shared many lewds and stupid things with each other, but eventually he grew distressed for some reason, and he asked me not to take anymore of "his things from him" (internet characters he loves that he feels I had been stealing???) and our friendship grew more distant until eventually breaking apart completely. I then began my career as a teitoku in early September of 2014, and fell in love with nearly each and every girl I found, with several exceptions.
Most notable exceptions I keep as far at the bottom of my list of girls to give love to are Shimakaze, Kitakami, Ooi, Kasumi, Michishio, Hatsukaze, Murakumo, Bismarck, and Kaga. Funny how the ones I dislike the most are mostly extremely popular and powerful.
However, since beginning the game, my favorites have changed a lot, but Ryuujou remains top 10. Libeccio, Ro-500, Z3, Tokitsukaze, Kiyoshimo, Isonami, Kawakaze, Sakawa, and Mutsuki take the other 9 easily.
Other notable loved and poked Destroyers I won't walk away without mentioning are Uzuki, Oboro, Ooshio, Arare, Nenohi, Naganami, Kuroshio, Mochizuki, Takanami, Akebono, Satsuki and Fumizuki. Also DesDiv6 is love, DesDiv6 is life.
Edit: At the time of this comment, I have zero ships above level 98.
Edit 2: To clarify this comment for the purpose of this thread, my goal is to have an imouto harem, eventually. This is going to cost me upwards of 17500-20000 JPY and months of grinding time set aside, but it's all for love. :3