come into the kitchen 比较合适.come in 就是叫人进来,后面是不加地点的.一般是你在厨房里,叫人走进来用的,同样可以用的是 come on in,这个比较口语话.而come into呢,后面要加一个地方,比如come into the kitchen,come into the room.
go to the kitchen基本上可以说是错的.go into the kitchen 是指走进厨房,一般是你在厨房外面~come into是说话人在厨房里面~