Hope I am not steppin' on tim's toes with my reply.
I would use the broadleaf herbicide by dow elanco
Turflon Ester. It will injure bermuda and zoysia but will not harm cool season turf. Use it when bermuda and or zoysia is actively growing but when high temps are below 75F (cool day in may or september) as herbicides in the ester form are volitle when it gets hot out and can injure off target plants from drift.
I read that fusilad/ornamec can be applied to cool season turf at a rate of .05 - .14 oz per k to control bermuda. I am adding this to my optional treatments for my customers. I would lean to the low end of the scale to avoid photo and apply at temps in the 70's with plenty of moisture in the ground.
I've had very good luck with turflon ester and Ornamec both on bermuda. The keys ems to be hit them when they are actively growing and make hit them again in 6 - 8 weeks. You'll probably even have to do it agin a little the enxt summer.