Welcome to the forum Tuscan.
Firstly you will need extra Wiimotes for multiplayer. How many depends on how many people you wish to play at the same time (2-4). You will also need to buy a nunchuk for each Wiimote, but only if you plan on playing games that require the nunchuk (not all of them do). You should seriously consider purchasing "Wii Play". It's a game that comes bundled with a free Wiimote (saving a fair bit of money) and would also be an ideal starting game for your young sons.
Another consideration would be with the batteries of the remotes. If you don't wish to shell out for batteries all the time then you might want to consider purchasing some form of rechargeables. I myself use a cheap £5 set of rechargeables, however there are some very neat pieces of kit out there that allow you to charge the batteries whilst they are still inside the Wiimotes, although these are obviously more expensive.
Other than that, there shouldn't be much else you need to start enjoying the Wii. If you have any other questions then be sure to ask away.
Enjoy!
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