You don't need to do anything to keep them happy. Those are hydraulic disk brakes, so no cables to tighten. Your LBS can replace the hydraulic fluid if necessary but they should run a long time without needing that. The brake pads can be replaced when worn, and the gaps around the disk can be adjusted, but you won't need to do anything unless the brakes cease to work properly or the pads start rubbing the disk. Just be kind to the disks so they don't get bashed or warped.
Oil is good, grease is better.
2007 Peter Mooney w/S&S couplers/Terry Butterfly
1993 Bridgestone MB-3/Avocet O2 Air 40W
1980 Columbus Frame with 1970 Campy parts
1954 Raleigh 3-speed/Brooks B72