Well, I'm certainly happy to supply you with some VERY general information on the topic since nobody else seems to want to.
Though not scientific, SPS=Small Polyp Stony and LPS=Large Polyp Stony. Both corals produce a "skeleton" primarily made of calcium carbonate. That's why calcium levels are so important in a reef tank!
Generally speaking, LPS require lower light levels to survive but lighting is still important! They also require less water flow than an SPS. LPS tend to live in protected lagoons whereas SPS tend to live on the outer reefs.
SPS tend to be less tolerant of water "pollutants" such as nitrates and such. Since they're more exposed to the open ocean they are more used to flows of relatively "clean" water from the open ocean whereas the LPS more often reside lower flow and thus more "contaminated" waters.
Both require some feeding. I've read that SPS only get about 10% of their energy from the zooxanthellae that reside in them (the symbiotic algae
that turn light into energy and give them much of their color) in nature. You'll have to do some research on what they feed on and how much to provide.
This is just general info and the specific corals will require different specific care. It also applies more to the SPS than the LPS as the LPS seem a little more diverse in nature.
Hope this helps!
PS to the other club members: isn't it nice to see a serious, helpful post from me rather than some snarky remark??