Booth, the son of Penn State hoops legend Calvin Booth, boasted a four-star status as a recruit and will take his talents to South Bend.
"We want to be true to ourselves, first and foremost, and not change a whole lot from the regular season."
Bouquot will arrive in Happy Valley with one year of eligibility remaining.
In his three years of high school wrestling, Weiss recorded a 102-11 record.
Zanon departs Penn State after racking up numerous awards in her three years with the program.
Shrewsberry is joining his father, Micah, in South Bend.