Good advice down the line...
The chainsaw is a cheapy, but should be adequate for light production - get a round file the right size, a file holder a Raker guage and a raker file and learn to hand file your chain - Do so after EVERY tank, sooner if you "ground" the chain, or hit an embedded nail, etc... Having a spare chain is a good thing. Once you have gotten a little bit of experience, get your replacement chain from a chainsaw shop - and get "Pro-Grade" type chain, avoid the consumer grade "saftey-chain" like the plague - pro-grade (I suggest a "full chisel" style) cuts much better.
Get your safety gear and use it - a chainsaw is probably one of the most dangerous tools there is, the gear doesn't make it "safe" but it sure can help if you screw up... You should also be wearing some gear when splitting - at a minimum I'd say safety glasses, and steel toes. Gloves are HIGHLY reccomended - my preference is for the form-fitting "technical" type gloves, as opposed to those cheapo leather "one-size fits nobody" work gloves. I have one pair with gel pads in the palms (Carhardt) and I find they really do help reduce the impact from using the sledge hammer...
As to splitting, there are essentially two methods, and two schools of thought - with much religious debate between them as to which is better, many of us have the tools for both approaches and switch between them depending on what we are splitting, the mood we're in, etc...
First off there is the "sledge and wedge" - drive a pointy object into the log with a big hammer... You definitely want a long handled hammer - the little hand sledges are possibly useful for starting a wedge, but aren't needed for that. I've also used one on occasion when I've burried a wedge and want to hit it just a little further, but essentially I wouldn't miss it if I didn't have one (I do use it sometimes for other sorts of mechanicing, which is why I got it...) Best for a beginner is probably a 6-8lb sledge / maul - a head with a flat pounding surface on one side and a wedge shaped spliiting end on the other. ~36" long fiberglass or plastic handle, with an overstrike collar for protecting the handle when you miss. Some people like to move up to a heavier head (you can get up to about 16lbs) on the theory that it will drive the wedge in faster.
Wedges - you need AT LEAST two, preferably 3-4, I've on occasion had all 4 burried in a tough log... some folks like the cone-style "wood grenade" wedges, others like the traditional triangular shape - I've had good and bad results with each. I think my favorite at this point is an Estwing brand wedge that I got at Home Despot - it's a triangular wedge with a couple of extension "wings" that come out near the top - theory is that the wings put more side pressure on the log to make it split faster - I don't know... It does drive a bit harder once you hit the wings, but it does a good job of splitting - what I like is the wings make the split wider so that if I bury the wedge the crack is wider than my hammer head so I can drive below the surface of the log...
This is the first method I'd go for, as it is the one that ALWAYS works - you can split anything that will split with a sledge and wedge, assuming you hit it enough times... It is the best approach for at least getting big logs started, and sometimes is the only thing that will work on stringy wood like elm, or crotches and other gnarly chunks... The downside is that it's a lot more work on the easy stuff - you have to set up the log, tap the wedge several times to get it started, then give it a few hard hits to drive the wedge in - as opposed to one or two hits with the maul / axe
The second method is the splitting impact tool - the axe or maul, where you hit the log with a pointy object... The pointy side of your maul from above is a good start on this, one that many folks find does just fine. This is where the big philosophical split comes in - I call it the "speeding bullet vs. Big Truck" debate - Some folks like to use a relatively lightweight splitting axe, on the theory that they can get the axe head moving very fast. Others go the opposite direction, and go for the ultra-heavyweight "monster maul" with a 12lb or bigger head, steel pipe handle, etc. on the idea that even though it's going to be moving slower, basically accellerated by gravity alone, the momentum of the heavy head will carry it through any log... I tend to go with the second approach, and find it works really well for me, but others are just as enthusiastic about their axes...
You will need to get your hands on a variety of equipment, and find what works for you... There is some stuff that just can't be conveyed in a post, this is getting into that kind of area...
Gooserider