Soon-to-be-wed lovebirds Jessica Simpson and Nick Lachey are one step closer to domestic bliss. They’ve purchased a 6,400-square-foot home just outside Los Angeles. The spanking new Mediterranean-style nest is packed with high-tech goodies like a projection room and a TV in the shower. The singers can listen to their favorite tunes throughout the house, which is wired with a state-of-the-art media system. The nearly 1,000-square-foot master suite includes a fireplace, study, and wet bar. Outside are an infinity pool and a spa. (Kevin Godley of Re/Max Olson & Associates had the listing.) The couple recently put their separate bachelor(ette) condos in Westwood up for sale.