These questions basically relate to colour management and I suggest you do some reading around the topic.
If you work on your PC and embed an ICC profile in your images, things should be correct on the Mac setup. Monitors need to be calibrated and profiled to a known standard for images to look the same - the use of D65 (6500K if your calibration solution doesn't support D illuminants) and 2.2 gamma is standard. You really need a colorimeter based setup to get things to that standard, but if you use the manufacturer's profile for the monitor and Adobe Gamma, you'll be fairly close.
A word of warning - laptop screens aren't the greatest, largely because of the limited physical space and power available for the backlight. There's often no manufacturer's ICC profile for the panel. I use Monaco OPTIX XR Pro, which tells me that three of the Gretag Macbeth ColorChecker colours are out of gamut on my laptop screen, and that overall the screen doesn't calibrate as well as my desktop monitors.
For the printing side of things, you need to print using an ICC profile valid for the paper and ink combination you're using. This should be fairly straightforward if the printers are using manufacturer's inks - buy paper for which there are profiles for that model of printer. I'll leave the advice on which papers to buy to those who use Epson printers - though you aren't limited to Epson papers. You can use third party papers if you have a profile.
There's information on printing on Epson printers using ICC profiles here
, and more information about rendering intents here
. If the university are giving you the ink, that's rather generous - when I was at university, we had to pay by the page for everything we printed with the university supplying both the paper and ink (or toner), though I'm talking here about routine printing, not use of specialist photo printers.
David