Saturday evening was full of love, laughter, and a few tears for Ellen DeGeneres and Portia de Rossi, who exchanged personal wedding vows in front of their closest family and friends at their home in L.A.

In an exclusive interview and photos, DeGeneres, 50, and de Rossi, 35, share the most romantic moments of the night with PEOPLE.

"What can I say? I'm the luckiest girl in the world," says DeGeneres. "She's officially off the market. No one else gets her. And now she'll cook and clean for me."

Amid candles and flowers by Mark's Garden, both brides, wearing designs by Zac Posen, sat on floor pillows along with author Wayne Dyer, who officiated the ceremony.

After exchanging Neil Lane rings, the couple and their guests sat down for an all-vegan menu prepared by their personal chef David Silberkleit while Sweet Lady Jane created a vegan red velvet cake for the celebration.

"The love we felt from the people surrounding us, and the love we have for each other, made this the most beautiful and emotional day," says de Rossi. "And one that we'll never forget."