Financial terms were not disclosed by the team. Wingels' contract was reported to be worth $7.4 million and Sheppard's deal is for $1.3 million.
Kunyk, 24, was signed as an undrafted free agent in March and made his NHL debut with the Lightning on April 13.
The 25-year-old Grant was acquired from the Ducks in exchange for forward Andre Petersson on March 5 and sent to Binghamton of the American Hockey League.
Los Angeles Kings forward Kyle Clifford had successful surgery to correct a small wrist fracture.
LAKingsInsider.com reported his recovery time would be 6-8 weeks.
(Editing by Frank Pingue)