If I were a billionaire, I would have the hyperbaric chamber, but have it powered in the most ostentatious way imaginable. Instead of having a motorized pump to pressurize it, I'm just going to hire a whole bunch of people with bicycle pumps to pressurize the thing for me. I'll hire like a hundred people, pay them absurdly well for the task, and have a hundred people show up just to perform a simple task that could have been performed by a cheap motor.
Also, my primary mode of transportation will be sedan chair.