Jordan is becoming one of the world’s hot new destinations, and even though Amman itself isn’t the main attraction, it’s getting many new visitors every year. The city is often used as a staging ground to see Petra and Wadi Rum, among other things, but it’s also pleasant enough with pretty good weather, and generally cheap by international standards.
Hotels and hostels in Amman are not as developed as they are in most other large tourist cities, but bargains can be had in all price ranges. Accommodations in the cheapest places will be quite basic, so spending a bit more is worth considering.
The attractions within the city are all either cheap or free, so you won’t need to spend a fortune once you arrive. Food and drinks are also quite inexpensive by most standards, especially at street stalls and other places aimed at locals.