I would suggest that you hire a local (to you) lawyer. Since it appears that you also have accounting needs, you should look for a firm which provides both legal and accounting services.
As for the Dubai Internet City: it's intended for specific business activities within the Free Zone. It's not a panacea that gives you access to the rest of Dubai or the UAE (for that you still need a 50% local owner.) That's great if you want to do business in the Free Zone, but if you're not a local to that region then there are far superior jurisdictions to be located if you plan on having international business operations.
Also, the royal family has a tendency to radically change laws every time a new generation comes into power, so the current business-favorable laws may change for the worse in a few years. If that happens, it could be very difficult to get out.
For example, public kissing is a felony in Dubai. A woman walking around in public "indecently clothed" is a felony (though exceptions are provided for hotel guests and beach visitors). Drinking is a felony, though hotels and other tourist spots are excepted. There is no free speech in the UAE. If you badmouth the royal family, you've committed a felony. If you badmouth Islam, you could be put to death (but most likely would be killed by religious zealots long before trial). Worse, for expatriates--if you aren't a UAE citizen and you commit a violation of your employment agreement, you've committed a felony and your visa is subject to destruction, effectively barring you from leaving the country without the assistance of your embassy.
Oh...and by the way...if you're a foreign corporation, you end up paying a 50+% income tax. While there technically is no income tax in Dubai, all companies doing business in any UAE member state must be at least 50% owned by a local company, and by law, all eligible local companies are owned by the state or a member of the royal family.
I have quite a few clients that operate in Dubai. Without exception, they limit their time in Dubai to strictly what is necessary for their business, because it's a decidedly unpleasant place to be once you've experienced the very limited touristy options.