Singapore style tends to be more of a fusion since the population there is made up of local Malays, Chinese settlers and Indians who came in with the British to provide labour, so all of these influence the local cooking. Szechuan is far from the sea and tends to concentrate on preserved foods and chili so is spicy. Cantonese is from the South of China and being semi-tropical has a lot of fruit and seafood - most Chinese restaurants are of Cantonese tradition. The others are Peking, from the North, on the borders of Mongolia and is inland,so you tend to see more meat, roasting, barbecuing and boiling, with sesame also featuring. Finally there is Shanghai from the East, which tends to be less distinctive than the others, looking to long simmering with duck, pork and freshwater seafood.
Ken Lo has written a bit on differnt styles of Chinese.
Do try some of the other sorts, you will rarely be disappointed by what you will find.