I’m used to having some flexibility with my work schedule. Will that continue if I’m salaried, non-exempt?

Yes. Flex scheduling is allowed within the same workweek. For example, let’s say a typical schedule is eight hours a day (during the day), and your department needs you to work a special event for four hours during the evening. The schedule may be changed, with the approval of your supervisor, to give you 4 hours off at another time during the same workweek.