Pete Davidson is looking to get his own place in Los Angeles to be closer to Kim Kardashian West. The 28-year-old comedian – who is currently based in New York – started dating Kim, 41, last year, and their high-profile romance has “definitely gotten serious” in recent weeks. A source told Us Weekly: “Pete’s been spending more time in LA to be close to Kim, and he’s looking to find a place there. “They’ve definitely gotten serious.” Pete and Kim – who has North, eight, Saint, six, Chicago, four, and Psalm, two, with her estranged husband Kanye West – recently enjoyed a romantic trip to the Bah…