As for current limiting, they don't seem to mind if I keep to the right voltage.
#1, Do these lights get hot? is a heat sink needed? (according to the ones you're using)
#2 what is meant by common cathode or anode?
Well, seeing as there is 60 Watts of power, yeah, I'd say it's necessary. High power LEDs burn out very quickly if they're not attached to an appropriate heat sink.
What kind of heat sink would I need?