I've started from using a fake name, but regret it now. Although I am altering my real name to English language realities, since mine original one is definitely too foreigner. If any of these gentlemen will call me in public place, it would be easier to handle in presence of my 'normal' life friends.
I am using 2 phones though, simply because of the numbers of calls coming through. If in 'normal life' situation it would ring so much as it does sometimes, it would raise questions.
Some of my clients though have my normal phone. Once, I trust them, second - they have families and very well going life and businesses, and they wouldn't do anything silly. Most of them keeps me as a person, who is coming to fix computer, in case of home out calls.
So yes, definitely go with two phones, my advise at least.
If you want some more private advise, message me on priv. I will try help from my own experience as much as I can.