Doug Davidson, who has played private eye Paul on CBS’ The Young and the Restless for 15 years, has just won a new job. Next fall he becomes host of the new syndicated prime-time version of The Price Is Right. Y&R watchers can relax: Davidson will keep digging the dirt as Paul. ”One of the things that made this so magical,” he says, ”is the shows tape across the hall from each other.” He is in no hurry to wash the soap off his resume, even if it sometimes incurs disdain. ”Recently I auditioned for a Judith Krantz miniseries, and the director asked, ‘How long you been on that show?’ I told him, and he said, ‘That’s a long time to be in the basement.’ There are some unenlightened folks in this business.” Holding two gigs will keep him running, but ”in this insecure business,” he explains, ”you make hay when the sun is shining.” So how much is a bundle of hay, anyway?