The only camera you will need (and be grateful to see) is the one that takes your Passing Out parade photo.
That said, a few mates of mine who have just joined seem to have no problem with posting millions of pictures of their Basic Training on Facebook, along with hilarious comments like "Just got me beret LOL!"
Conker-bollocks did his basic when it took 20 minutes and half a ******* pound of flash powder to take a picture so ignore his ramblings.
Take it. You will have time to use it, you will probably find most things exciting and will want to take phots. If you take it on exercise it will get trashed, wet, broken - unless of course, you ensure that it doesn't get trashed, wet or broken.
Don't aside from the Scouser thing, there is always a chance that feeble-minded young idiots will record their idiotic behaviour and/ or hazing/ abuse and somebody will burn for it. You sound like precisely this kind of ****, so just leave it at home
Aahh, how times have changed!! When I joined (way back in '83), I don't think I had time to even fart, let alone take happy snaps of events as they unfolded around me. That said, it was probably one of the best times of my life; the start of a 24 year career that I now look back with immense pride and happiness (ok, that last bit sounded a bit gay!!).
My point is, if the OP takes his / her (if it's her, then all phots have to be posted of course - preferably the showers ones commented on earlier) camera then there might be a chance to get some lasting memories. I'd also echo other posts about the theiving bit - just be careful.