Who did Winnie like at the Tuck's house?

I edited your question to say "who did Winnie like at the Tuck's house?"  It's possible that you meant to ask "why did Winnie like the Tuck's house?"  I'll go ahead and answer both.  

Winnie likes all of the Tucks.  A reader can't claim that she likes Jesse but not Miles.  She likes all of them, and even tells the constable and her parents that she is friends with the Tuck family and was not kidnapped.  Winnie does like Jesse more than any other of the Tucks though.  Well, that might not be true.  She likes him differently than she likes the rest of the Tuck family.  She is somewhat attracted to Jesse Tuck, which is why her heart leaps into her chest every time that he comes into the room.  Jesse feels the same way about her too.  

Winnie likes the Tuck's house because it is so completely different from her house.  Her parents are strict, hovering parents.  Everything in her own house is neat and organized.  It's cold feeling, because it is a house that people live in, not a home.  The Tuck house feels like a home to her.  It's a place that she feels welcome in.  

Winnie had grown up with order. She was used to it. Under the pitiless double assaults of her mother and grandmother, the cottage where she lived was always squeaking clean, mopped and swept and scoured into limp submission. There was no room for carelessness, no putting things off until later. The Foster women had made a fortress out of duty. Within it, they were indomitable. And Winnie was in training. So she was unprepared for the homely little house beside the pond, unprepared for the gentle eddies of dust, the silver cobwebs, the mouse who lived—and welcome to him!—in a table drawer.