I'd recommend cleaning the tank with vinegar. I wouldn't use bleach...
You'll need to heat, light, and filter the tank.
Most aquarium grade heaters work fine in saltwater. Titanium heaters are specifically marketed for this but regular glass housed ones are fine - just make sure the fish cant actually get to the heaters and more importantly the wires (not pretty when an urchin chews through the power cable)
As far as light is concerned, if your planning on keeping corals or anemones after your tank settles down, you need to make sure you have the right amount. There is such a thing as "too much" as well as "too little" light depending on what your keeping (can bleach and kill corals with too much light, and brown/starve them to death with too little)... appropriate lighting can range from regular fluorescent, to power compacts, high output t5s, LEDs, and metal halides... but this is driven entirely by the specimens you want to keep. The spectrum of lighting is very important if your keeping photosynthetic critters too, since "not all light is equal". Very worth researching - there's a strong following for most lighting types that insist theirs are the best
Filtration is another hotly debated issue - but one nearly universally agreed component is a high quality skimmer. Properly maintained skimmers remove organics from water before they ever have a chance to break down, making them an extremely valuable asset to keeping high water quality in any tank.
Other forms of filtration I've personally had great success with in saltwater are deep sand beds (4"+), live rock (check out "berlin" style filters), use of macro-algae to export nutrients before nuisance algae can consume, etc. I also run carbon but only about half the time (I don't like leaving it in for detritus to get stuck in and rot) While running "fish only" setups, I've also had good success with bio-balls and prefilters, but both require frequent cleaning to avoid "packing" as well as removing organics that are caught up before they rot and pollute the water further. Some of the local reef crowd are also very into using ozone, etc. I've seen some tanks maintained very well with canister filters, bio-wheels, etc as well but personally dont have the interest in the very frequent cleaning that these filtration styles can demand due to debris getting trapped and building up in them.
That's my 2 cents