Super low lighting and grainyness?

[IvoryOasis]

So, I am wanting to go with a super low lighting being lit by candles and small electric lights in a dark room (mainly because it is in my apartment and I don't want people to know it is just in some apartment hehe).

But, after doing a test with some candles on my desk, I found that the pools of light were a kind of nice look.

The problem? Grainyness!

I have the ISO set to the max (I am using a canon 7d , so maybe just not the right camera for this type of thing?).

I was thinking I could direct some more lights directly at the figure (mr. bunny) through electric lights hidden in junk on the table? Maybe that would bounce more light into the camera and take away some grainyness?

Here is a screenshot of the problem.

 

[Gonzo_Entertainment]

I'd also add, being the resident "he who poops in the punch bowl", that's not grain, film has grain, and it can look amazingly beautiful. Digital has "noise", and it generally looks like crap.

 

[Ernest Worthing]

@Gonzo: Thanks for that image Gonzo!

@OP: Gonzo is right. but a lot of ppl use those words interchangeably

@ROC: I liked the grain in Green Zone. i thought it suited the subject, situation and mood

 

[David.rhsc]

Is there a gain setting on the 7d? (no clue, never used one). Gain can increase noise.