This vacuum cleaner comes with one year warranty.
I'm looking for a Japanese style hotel that includes dinner and breakfast.
This room is furnished with a refrigerator and a washing machine.
You know that the kanji 付 means attach and words like 付く mean "to be attached." This has the same idea. When you see this attached to another word, for example, you might know that something is attached to something else, or perhaps included with it. For example, if you stay at a hotel room, maybe it is a breakfast付き, i.e. "including breakfast."
The reading comes from the reading of the kanji as well as from words like 付く and 付ける.