Add one more to the roster of new plays hitting Broadway this spring: Nicky Silver’s Off Broadway alum “The Lyons,” toplined by Linda Lavin, has booked a run at the Cort Theater for an April opening.Play, about a family confronted by the imminent death of its patriarch, bowed in a nine-week run last fall at Off Broadway’s Vineyard Theater. Lavin toplined that staging under the direction of Mark Brokaw, who reprises his helming duties on the Main Stem as well. Dick Latessa (“Hairspray”) will co-star with Lavin, as he did Off Broadway. The rest of the Vineyard cast — including Michael Esper, Kate Jennings Grant, Brenda Pressley and Gregory Wooddell — also is expected to make the jump. Kathleen K. Johnson (“Hair,” “Race”) produces the transfer. Although the production has yet to set exact dates, it’s anticipated that the run will open prior to this season’s April 26 cutoff for Tony Award eligiblity. “Lyons,” which earned generally strong reviews at the Vineyard, joins a busy slate of new plays this spring including “Clybourne Park,” “Peter and the Starcatcher,” “Magic/Bird,” “One Man, Two Guvnors” and “The Columnist,” among others.