Following the Fall of Saigon in 1975, Saigon was renamed Ho Chi Minh City. However the old Saigon moniker is still used by both Vietnamese and foreigners, especially when referring to the most central part of the city, to which most tourists flock.
The helpful, Tourist Information Center (4G 4H Le Loi St, District 1. Tel (84-8) 822 6033) can be found on the northeast corner of the roundabout at the intersection of Le Loi and Nguyen Hue, right in the heart of the city. It's a great place to pick up a free map (which includes a map of Hanoi, as well) and get an idea of what the city and surrounding area has to offer.
Vietnamese arts and crafts are sold by dozens of shops around the central tourist district. The best, most expensive items can be mostly found on Dong Khoi or the immediate side streets. The goods tend to get progressively simpler and cheaper as you move west toward Ben Than Market. A few shops have authentic woven silk textiles from Sapa and the north. Lacquered paintings, plates, bowls, etc. are quite striking and unique to Vietnam. Vietnamese propaganda posters can be very impressive and offer a taste of history.
Ben Thanh Market, Southwest end of Le Lai, is recognizable with its clock tower on the large traffic circle. The largest old-style market in the central district, with several hundred small stalls stuffed with goods on almost impassably narrow aisles. Due to its popularity with tourists, the market is now divided between tourist goods (jeans, T-shirts, smaller souvenirs in abundance) and regular items (fruit and vegetables, rice, kitchen wares, flowers, meat, fast food and local-style pickled fruits and candies).