Henry Cavill is currently in Detroit, and Zack Snyder was spotted there around New Year's Eve.
New Wonder Woman Gal Gadot also said she doesn't film until May.
Now Affleck's wife, Jennifer Garner, talks to DetroitSports1051 mentioning the Summer start date for Ben Affleck.
I'll be there this Summer. All Summer. My husband is [filming]. Batman is shooting or whatever it is called. Superman with Batman, or whatever it is. He is shooting this Summer. So we'll be there.
Batman Vs. Superman was originally slated to begin filming this month, but Warner Bros. announced a shift in production and new release date, which interestingly enough followed rumors of Affleck getting injured.
"Batman Vs Superman" has a newly announced May 6, 2016 release starring Ben Affleck, Henry Cavill, Gal Gadot, Amy Adams, Laurence Fishburne and Diane Lane.
For more news on the "Man of Steel" and related movies head on over to the Cosmic Book News Superman movie hub.