okay, so should I remove the boardman feeders and put entrance reducers on both hives?
Yes, or robber screens if you have them.
Also, we'll have a cool night tonight (around 35, which is cold for N Fla). Maybe removing the feeders would be a good idea anyway.
If you're using boardman feeders on a new package of hived bees you are begging to get them robbed. Using an internal type of feeder is better and it gives the bees within the hive a better chance to defend their food source.
I make it a rule that if I'm feeding a newly hived package, split, nuc, or swarm, that I also community feed the entire bee yard to prevent robbing of the hive being feed internally. With a community feeder all the hives go to it, including the one being fed, and overlook the hive being fed. But if using a community feeder it is important to place it at least 50 feet from the bee yard in a direction opposite that of where the new hive is located in the bee yard.