Congratulations on making the investment. I hope it brings you many years of happy diving.
The most important thing to remember about caring for your equipment is to rinse it thoroughly after diving, before it has a chance to dry out. Once dried and crystalized, salt is much harder to rinse off.
If using in a chlorinated pool, prompt and complete rinsing is doubly improtant because the chlorine is extremely hard on wetsuits and BCs.
Other things to note. Be sure to remember to cover the valve port on your first stage, and do not press the purge on second stages while submerged, lest water enter and floods the system.
On BCs, rinse the inside of the bladder and run the rinse water through the inflator hose and all the dump valves after every few dives and definitely before storage, to make sure no salt acumulates inside.
Wash and dry your mask after diving and store it in a closed box, without anything else inside, to prevent oxydation of the skirt.
For storage find a cool dry place, and store BCs and wetsuits hung on wide hangers so as to prevent strain or creases. Put your regs on a shelf with the hoses gently coiled, not stressing the ends. The rest is basic common sense, like not storing your fins bent unless you want them to retain the new shape.