The former Fall Out Boy rocker - who split from wife Ashlee Simpson in February - stepped out with his two-year-old son Bronx and his leggy new lady to visit a Los Angeles playground.
A source told E! News: "She`s a model and it`s a new relationship. They`re taking things slowly but he obviously thinks highly of her to introduce her to Bronx."
The couple were pictured holding hands in the park and he also took her on a date to Katsuya Hollywood restaurant on Monday (19.09.11) where he set about impressing her by ordering the most expensive bottle of sake spirit on the menu.
Pete, 32, also cryptically tweeted earlier this week: "You always get to make the decision to be a bright light in someone`s life or enhancing their own darkness. Don`t complain when you pick wrong."
Ashlee, 26, has also showed she is moving on from the marriage this week, appearing at the Emmy awards with `Boardwalk Empire` actor Vincent Piazza, where the couple gave a very public display of affection.