Downtown Amman is an experience next to none, every customer/guest experience the real traditional Middle Eastern country with authentic herbs, traditional restaurants (sweets like Knafeh and food like falafel & Shawarma) and cheap good quality clothes shops.
From grabbing a hot sandwich and drinking organic fresh juice to buying beautiful accessories and souvenir You can get anything you would ever need from here including a "souq Jara market" every Friday (summer only) just 2 minutes away from the Villa. Don’t forget to enjoy some historical sights. From there you can start walking between the shops, restaurants and coffee’s, walking towered Al Husaini Mosque you will find the most famous place doing the Kunafa (Jordanian sweet), it called Habiba and anyone on the street can help and direct you to the place which is from anywhere not more than 5 minutes walking. after you try the Jordanian best Kunafa in downtown from Habiba you can walk between the shops and visit Al Hussaini oldest mosque, beside the Mosque you can walk inside the fruit and vegetables market where you can buy some fruits in very cheap and affordable cost.
Walking in this market you will find too many restaurants for getting your lunch or dinner in too many choices of local restaurants or some other touristic restaurants like Jafra local restaurant.
Many souvenir shops are available with plenty of choices and again the rates are cheaper than any other place in Jordan.
Final advice that if you want to buy any gift or item try to barging for the rates, people in these shops accept barging and you can get up to 30% less rates. Try it. You'll feel like a savage !