You've gotten the good side, now here's the ugly:
I, personally, do not house my bantams and large fowl together. Lots of terrible things can come from it. And, its not just your hens you should be worried about. How will your little bantam rooster fair when those 2 much larger EE roosters decide they're ready to take over all of his hens? I've had to put down bantam hens that were bred by standard sized roosters, one had an egg break inside her after some amorous attention from a large guy, another was just squished to the point that she couldn't recover from it. It was heart breaking.
LOTS of folks mix their bantams and LF, I've just never been able to pull it off without someone getting the short end of the stick.
Good luck to you, I hope it works out!!!!