My Woods BH90-X came with a male and a female QC so if I were to run it off of the tractor's rear remotes I would have to morph the one female QC to a male QC in order to attach it to the RR.
There are decals on the BH that indicate which direction things will go when you push or pull a particular lever so if you do decide to use your existing RRs you stand a 50/50 chance of being right as per the decals-if wrong, just reverse the hoses and tie on a similar colored zip tie to one hose and the corresponding RR so the 50/50 thing will disappear on future hook ups.
Remember that you will have to tie the tractor's RR lever open to create a constant hydraulic flow to the BH.
I chose to go with the Woods hose kit.