Snooki Introduces the World to Baby Lorenzo

New mommy Snooki aka Nicole Polizzi is beaming with pride

The Jersey Shore star covers the new issue of PEOPLE, where she introduces the world to her son, Lorenzo.

“It’s a different kind of love that I never felt before,” says Polizzi, 24.

Polizzi gave birth to Lorenzo on August 26.

“We were going back and forth, and I just happened to think of Lorenzo,” says LaValle, 25, who adds that he was inspired by a child he knew from his hometown, where he and Polizzi now live with his parents. “She loved it.”

This issue of PEOPLE, which contains more exclusive photos and details of Snooki’s delivery, hits newsstands on Friday.