Nabatean Castle Hotel - Five star hotel near Petra. There's an internet caf in the main square of Petra. Two days should be enough for the average tourist. If you leave very early and walk fast you can see everything in 1 day. Make sure you've agreed on any price before you order anything.
People here are very used to tourists and often try to overcharge.
It's opened from 6 am till 6 pm. At about 8 km from Petra. Take the paved road on the right side at the visitor's center in front of the M venpick hotel in the direction of the bedouin village of Umm Seyhun. From here you could enter Petra for free, but be careful for the villagers because they will tell upon you. Al Beidha is beautifully situated, free of charge and not yet too touristic.