Brady, a Bethesda, Maryland, native, has plenty of high-level experience following his five-season stint with Bethesda Soccer Club within the MLS Next league.
Five incoming freshmen and two transfers make up the Nittany Lions' newest seven skaters.
Simpson will take over the role following Denise St. Pierre's 31 years of leadership.
Carter received an offer from Rhoades just 10 days ago and will be the first piece in the Nittany Lions' recruiting Class of 2024.
Pickett will don No. 24, while Lundy will rep No. 8 on their respective NBA teams.
The Nittany Lions will play 17 series, with eight of them hosted at Pegula Ice Arena.