It's definitely easier and cheaper to rely on taxis to get around, but if you need to rent a car, there are many reputable car rental companies in the city and at Queen Alia International Airport.
One of the best values, it offers insurance up to JD29/day. They will deliver your car anywhere in the city for free.
Telephone: +962 6 592 9676
Avis is a reputable international brand, with several locations throughout Amman. Daily rates begin at JD30.
Telephone: +962 6 445 1122/1133
A local company with 24 hour service and a fleet of brand new cars.
Telephone: +962 6 445 1345
Hertz is a better option for one-way rentals, as it offers a free car drop off at any of their Amman offices, the airport, the Dead Sea, Petra or Aqaba on rentals of three days and above.
Daily/weekly rates JD35/210. CDW costs JD10 per day with no deductible, or JD7 with a deductible of JD100.
Airport Road near Queen Alia Airport (tel. 962 6 446 0771)
Shmeisani's Middle East Hotel (tel. 962 6 553 8958/8406)