The 27-year-old hit .270 last season, with 29 home runs.
It's the fifth big trade Padres general manager A.J. Preller has made in just more than a week.
Wil Myers was AL Rookie of the Year in 2013 for Tampa Bay.
Brandon Morrow pitched in 13 games, including six starts, for Toronto in 2014, going 1-3 with a 5.67 ERA.
The Padres submitted a bid last month to host the annual contest, which is normally held in the middle of July.
The Dodgers will pay $30 million of the $107 million remaining on Kemp's contract.
The Padres broadcaster will be honored in July.
The 12-day festival features a snow scene, light displays, Candyland and a 40-foot tall Christmas tree decorated with almost 16,000 lights.
The move comes one day after Everth Cabrera was non-tendered.
Welcome to America’s Finest City. Looking for to grab food and a beer? Ben Higgins has a few spots you'll want to check out.
Move makes the former all-star a free agent.
Kotsay replaces Phil Plantier, who was fired after the end of last season, when the Padres' offense was abysmal.