Ben Thanh Market & Saigon Square
Even if just to see the crowded stalls and market chaos, Ben Thanh Market is always the best stop-place for tourists. Everything from local favorites, fish, flowers, and tropical fruits to shoes, clothing, colorful candy, and souvenirs are piled high on the stalls. Make sure any valuables are safe and hidden because pickpockets are notorious in the markets.
After that, take a three-minute walk to Saigon Square for a somewhat less hectic shopping experience with the additional benefit of air conditioning. You can get great bargains on everything from jewelry and shoes to clothing and backpacks here. Both places are used to haggling.