Most travellers pick a neighbourhood and then look for a room in it. Amman quietly reverses that. The cheap beds are almost all down in the valley of the old town; the middle of the market sits on the two hills immediately above it; and the expensive rooms are out west, in residential and business quarters with next to nothing on the pavement outside. There is no backpacker bunk on the hill with the embassies, and no grand hotel in the souq. Choose a price here and you have, in practice, chosen a neighbourhood too - along with a walking radius, a noise level, a breakfast, and how often you will open a ride-hailing app.
That last point is the one visitors consistently underestimate. Rides across Amman are cheap by European or Gulf standards, which flattens the usual logic of paying a premium to be central. A hop between hills typically costs a few dinars. What the money cannot buy back is the dead time - fifteen minutes each way, more like forty when the working day ends and the circles clog - and the quiet friction of not leaving the hotel at all because there is nothing outside the door worth walking to.
One note on currency before the tiers. The Jordanian dinar has been pegged to the US dollar for decades, so one dinar is worth roughly USD 1.40. That makes Jordan pricier than most first-time visitors expect, and it widens the gap between the tiers in dollar terms more than the local numbers suggest. Every figure below is a rough guide to a double room with breakfast in shoulder season, and rates swing hard between the empty heat of August and the busy weeks of April and October.
The shape of the city, in one paragraph
Downtown - Al Balad - sits at the bottom of a bowl and holds the Roman Theatre, the Nymphaeum, the gold souq and the fruit and vegetable market, with the Citadel looking down from the ridge above. Directly west and uphill are the two hills that matter most to travellers: Jabal Al-Weibdeh, residential and quiet, full of galleries and small cafes, and Jabal Amman, which carries Rainbow Street and the first of the numbered traffic circles. From there Zahran Street runs west through those circles, First to Eighth, and the higher the number the newer, wealthier and further from anything old. Abdoun lies south of the Fourth and Fifth Circles: villas, embassies, wide streets. Abdali, north of Weibdeh, is the purpose-built new downtown of towers, a mall and a boulevard.
Two consequences follow. The contours are brutal - Weibdeh to Al Balad is a few hundred metres on a map and a long flight of public stairs in reality. And the part of Amman a visitor actually wants occupies a small fraction of the built city, so "central" here means something much tighter than it does in Rome or Lisbon.