As a long time graphic designer/photographer I'll add a few of many things to consider in designing a logo/identity.
What are the largest & smallest sizes to be applied to logo.
Does it need to work in B&W, color.
Does it need to work on light & dark backgrounds.
What are the applications, from most important to least. Web, watermark, signage, etc...
Will it work well on a copier or fax, if important.
Color scheme: will it reproduce accurately in print (what types?), web, etc...
What are the logos like of local photographers.
Cruise photo portfolio sites & note what you like.
Do you want your business to represent a certain look or feel, what is it?
My personal take on initials for a logo is that my goal as viewer ends up trying to figure out what they stand for, if you need to explain what they mean it isn't always very effective & can waste time/space. Portfolio sights do represent a lot of photographers who use their personal names. Don't limit yourself at first, keep all options on the table.
These are just a few general considerations, I'd also very highly recommend using whatever is your favorite way to clip items, ideas, examples from the web & save them for showing a graphic designer so they have a place to start from & you get what you want.
My take on a good logo is one which you can't simplify any further.