The echapest way is to register as sole proprietor in one of Free zones. It is cheaper than incorporation a company. If you do not need a company, there is no reason to pay more. Incorporation is 2000-4000 USD. Registering as sole proprietor is 1000-2000 USD.
Freezone company can not use UAE double tax treaties if it is not administered from within the UAE. Company is administered from within the UAE if it is administered by UAE tax resident. So, if you incorporate a freezone company, obtain residence permit, but you will not be UAE tax resident, this company will not have access to UAE double tax treaties. And you will be not considered to be UAE tax resident for your foreign income. Any paying entity will withold a withholding tax from any payment done to you or to your company.
Since I have other people working with me I suspect I would need a company, right?
How enforced are the checks for the 183 days in the country?Is it ok to rent some cheap space, like a room in a shared apartment, or you have to demonstrate somehow that you spent 183 days in the country?