Cannot batch rename nikon and canon files together in bridge

I am on the brink of loosing it as I need to have a wedding finished by this weekend. I had a second shooter who shot with nikon, me with canon. I have been trying to arrange all the files accordingly to the day and then batch rename them which alternately rearranges the files crazily. Is this possible to do some other way? Maybe in Lightroom? I am not really a Lightroom user and not very familiar with it. Please help!