I went to see the VIctoria Falls, and the crocodile farm -- there are a million things to see in Livingstone.
I get to Livingstone very regularly (every month). The armchair is awesome, but check with a bone fide tour operator if the level is safe first. Don't trust unscrupulous off the street "guides". Royal livingstone is beuatiful, but expensive, try Zambezi Waterfront for sundowners. If you have time to travel out of town there is a much better croc farm 340 ks away at Siansowa, Lake kariba.
You can get cheap flights up from Johannesburg lots of places do package deals. Don't drink the tap water. Check out the croc farm. At low water the walk across the top of the falls is possible and there is a special pool there that you can swim in called the Devil's Armchair...right on the edge. Do that - around Christmas time when the water is low. Eat a funky munky pizza, drink at the Royal Livingstone at sunset and eat at Rite Pub and Grill if you're there on a Sunday.
Livingstone is dusty and strange, the night life is poor. But the zambezi river makes up for everything. The falls were magical.