Just gather eggs daily. Takes 24-48 hours at 100°F for a fertile to begin to develop.
Nope. Broody has nothing to do with a male being around.
The worry here is that multiple males can create an environment of competition, which can bring out the worst behaviors in all of them. Chicken sex can be disturbing and injurious.
Just get rid of both the males, and your chickeneering experience will be more joyful.
Maybe I missed somethibg, but I think they just have one possible male