Same as they've done with the previous Rebeim.
Pretty sure Dan's posted our Grandfathers been doing that for a while for The Previous Rebbe.
Yes, start at 1 again.
He says the Tehilim daily, while standing, for every Rebbe back to the Besht besides the Maggid, as well as the Rebbetzin.
And the Tehilim daily for the yom, for all of his kids, kids in law, grandkids, and great grandkids.
He told me that mine sometimes overlaps with the Maharash, though he does it again for everyone regardless. That means 4 times Kapital Beis for Kovi and your triplets.