The port where ferries to Dubai and Sharjah in UAE leave is the Skahid Bahonar port. The entry to the port is located at 27°09.268’N 56°12.368’E.
If you do not have your own transport, it is best to take a taxi, since the center of Bandar Abbas is 10-12 kilometers away (20 minutes, 2-3$). Be aware that Bahonar is not only a trade port, but also Iran’s main naval base. Be sure to choose the correct entry to avoid nasty looks or arrests.
There are no money exchange services at the port.
If you are looking to take a ferry here, see following articles: