Published: May 03, 2013 4:59 PM EDT
Updated: May 03, 2013 5:12 PM EDT

CAPE CORAL, Fla. -- A Cape Coral family is welcoming not one, but three bundles of joy. That's right, triplets! And the way they were delivered is putting the hospital on the map. 

The triplets were born though a gentle cesarean. The moment the baby is born, it's placed with skin to skin contact on the mother. That's not normally done in regular C-sections. 

Cape Coral Hospital staff believe this is the first hospital in the nation to deliver triplets using this method.

If good things come in three's, then Adam and Amy Buteau are learning first hand. "We thought we were having one baby," Amy laughed. 

The couple already had three girls, and decided to have one more baby. They were in for a shock when they learned, instead, they'd be having three of them.

Brooke, Benjamin, and Brielle were born on Thursday, each weigh about five pounds. "Our's was very unique because we made it to one day before 37 weeks, which is unheard of for triplets," Amy said.

The family fought hard to have the tiny triplets at Cape Coral Hospital, which, about a year ago started a program birthing babies using the gentle cesarean method.

"'As soon as the baby is delivered from mom, he's handed to one of the nurses who takes that baby, dries it off a little big and puts it directly skin to skin with mom," said Nancy Travis, director of Women's Care and Birth Suites at Cape Coral Hospital. 

The new parents own Twice Bought for Mom and Tot, a child consignment store in Cape Coral. They've received a lot of support from customers, family and friends, and are excited to begin this brand new chapter in their lives.

"We bought another refrigerator. We bought another freezer. We have to buy a new van!" said Adam.

This is the third set of triplets born at Cape Coral Hospital in its 36 year history, and the first set of "mixed" triplets - the others before were either all girls, or all boys.

No fertility aids were used, so the babies were a complete surprise. The family estimates they'll use up 11,000 diapers in one year!