I have this internal argument all the time. I started using my name... I have built that name and now it is pretty well known around my area... I wish I had used a company name to start with though.
Reasons for this:
It is saleable. If after 10, 15, 20 years you want to sell the business, you might be able to whereas you have no chance with it as your name imo.
You can employ others. At the moment, people know my business as Kevin McGinn Photographer - they expect to have Kevin McGinn. If I was Company ABC photography and employed 3 or 4 other shooters, not only could I shoot more weddings but peoples expectations of having just me wouldn't be there. At the moment if I have a wedding booked on a particular day, that is it. I can't be in 2 places at once - so only 1 wedding per day - having other shooters would mean multiple weddings could be shot on any given day.
On the plus side....
Having your name as your trading name means people can relate to you. They like talking to the owner of the business.
I have often thought about rebranding myself as CompanyABC photography... but have never taken the plunge...
I guess it comes down to what you want to get out of your business.