The Pelekai residence is the residence of the main protagonist cast throughout the main timeline.
In Lilo & Stitch, only Nani, Lilo, and (later) Stitch live in the Pelekai residence. This house was wreaked in Jumba's fight with Stitch and destroyed in an explosion from a overloaded plasma. The house is then rebuilt in the final montage, and Jumba and Pleakley move in.
In Stitch's nightmare in Stitch Has A Glitch, Stitch destroys the house by crashing into it with the red police cruiser.
In an alternate timeline, the house is destroyed by Melty. (The Series: Melty)