Mark McGrath and Fiancée Welcome Twins

Mark McGrath and Fiancée Welcome Twins
Mark McGrath and Carin Kingsland
Iris Moncada

04/29/2010 AT 02:10 PM EDT

Thursday morning was twice as nice for rocker Mark McGrath and his fiancée, Carin Kingsland, who gave birth to twins – a boy and a girl – in Los Angeles

Son Lydon Edward weighed in at 5 lbs., 7 oz. upon his arrival at 9:54 a.m., daughter Hartley Grace came one minute later, weighing 4 lbs., 8 oz., McGrath’s rep tells PEOPLE exclusively.

"We are so lucky," McGrath tells PEOPLE. "I don’t think you can prepare for the love we are feeling."

After 16 years of on-and-off dating, the Sugar Ray frontman, 42, and Kingsland, 37, an aesthetician, became engaged last New Year’s Eve and confirmed in April that they were expecting twins thanks to IVF.

"These two kids will be the luckiest kids in the world in terms of their mom, that’s for sure," says McGrath, who will host Fox’s Don’t Forget the Lyrics! this fall and tour with Sugar Ray in the summer. "They’ll get a lot of love. "

In fact, he jokes, it may feel like Kingsland has three little ones once they get home. "Carin has taken care of me for the last 16 years," says McGrath, "[Lydon and Hartley] are going to have trouble playing with their toys because I’ll be using them all the time!"

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