If you want to take out the best of your time at "Nawabo ka Shehar" & want to visit the heritage and don't want to miss best priced SHOPPING AND popular FOOD PLACES go to AMINABAD & HAZRATGANJ, respectively
Visit Lucknow and directly go to Aminabad (by uber, or local auto)
This is the best market to buy Chikankari clothes at the best price (you can compare it with any other shop in luckonw selling the same quality). Amongst all these shops at Aminabad, you can compare the price at different shops and buy the best one!
If you're a non vegetarian DO NOT MISS Lucknow ke Kebabs!
For vegetarians Aminabad offers very famous "Prakash ki kulfi" & basket chaat.
Also, you can try different variety of namkeen which was available on stalls in the same market. I bought paneer bhujia
At Hazratganj you MUST VISIT Moti Mahal food outlet to eat almost every delicacy of Lucknow be it Rabri-imarati, varieties of halwa, dry fruit milk, and what not!
At the same place in Lucknow, Royal café is famous for basket chaat which is good to try.