This museum is included in your ticket for the Roman Theatre so visit it while you are there. It's small and not much special, though still worth a short visit to walk around and see some typical Jordanian clothing, accessories and utensils. The museum should be updated with some more information boards.
The admission of this museum is included in the price for the Roman amphitheater. It is small, but has a lot of clothing from history. I would assume that children would find it boring, but since you are already there...why not.
A small sampling of clothes and other common items are displayed in a small set of rooms adjacent to the amphitheater. A visit to both should take less than half an hour, even if you read all the labels.
This very average display is included in the price of your entry to the Roman Amphitheatre in downtown Amman, so of course it's worth having a look at. The costumes are lovely, too, but poorly explained and curated. The ancient mosaics are amazing, but again poorly explained. I had so many questions about the places they had come from, who...
Something that seems to be interesting, as tradition and culture sounds, unfortunatelly was quite the oposite. It's basically 4 rooms filled with traditional clothes, which is ok, and some jewelry. However it looks more like a closet than a museum. It takes about 10 minutes the see the whole place. No traditions are really explained, nor culture. Boring.