The ventriloquist, 50, wed fitness model Audrey Murdick, 32, on Friday in Santa Ynez, Calif., his rep confirms to PEOPLE exclusively.
"No matter what the day, we go to sleep laughing, and we wake up laughing," the couple tells PEOPLE. "We can't imagine a love any better than this."
The bride wore an Eve of Milady gown and Vera Wang shoes while the groom donned an Armani tux for the 5 p.m. non-denominational Christian nuptials at the Sunstone Vineyards and Winery.
Among their 112 guests: best man Kelly Asbury, a writer and director whose credits include Shrek II and Gnomeo and Juliet, as well as designer Andy Smith, who built the original Michael Keaton Batmobiles as well as Christian Bale's Batman Tumbler.
It's the first marriage for Murdick and second for Dunham, who has three daughters from his previous relationship. His eldest daughter, Bree, escorted her father down the aisle on his big day.
Roadie, the couple's 5-lb. miniature pinscher, served as the ring bearer and walked down the aisle alongside the couple's comedy writer pal Jeff Rothpan.
The Special DetailsIn addition to the wedding cake – a multi-tiered vanilla sponge confection with lemon mousse and raspberry preserves from Decadence Fine Cakes and Confections of Buellton, Calif. – the couple commissioned a special groom's cake to reflect one of Dunham's personal passions.
Rosebud Cakes of Beverly Hills created a detailed model of the Keaton Batmobile, including the Batcave and edible versions of Dunham and his bride dressed as Batman and Catwoman (Dunham owns the Batmobile from Batman Returns).
The newlyweds, who've been together since early 2009, plan to honeymoon in Vermont and Napa Valley before a scenic drive home to L.A. along the California Coast.
Dunham hits the road Nov. 1 for his new "Disorderly Conduct" tour, where he'll be accompanied by his wife, who also serves as his fitness trainer and nutrition consultant.
Check back with PEOPLE.com later in the week for exclusive wedding photos.