Is pain felt in kidneys when renal insufficiency develops?

I kinda have been feeling very mild pain in my kidney areas (on both sides of my spine at the lower back level) for the last several moths. I researched renal diseases on the internet, and kidney pain is not really mentioned as a symptom. Can something be wrong with my kidneys? The pain is very mild and it doesn't interfere with my daily activities; I forget about it most of the time. I know you will tell me go see a doctor, but I would appreciate if medical professionals or people with kidney disease could give me some insight here.

I don't have blood in my urine.

The pain that you refer is more likely due to low back pain. Usually renal insufficiency is a severe disease that can be easily rule out with some basic blood test done by your physician.
The only disease related to the kidneys that your sort of pain might reflect could be a urinary infection, that gives other symptoms as well.
In case that you are thinking about an specifically disease that you observed within your family, then just go to your doctor and explain your doubts. A few urinary and blood test are going to ease your mind faster than trying to fish information on Internet.
From the information you give, the frequency that happens and the long term mild pain, it is more reasonable to think in low back pain, due mostly to muscular causes, bad position or simply stress.
The best you can do is to rule out a severe disease if you are already doubting, at least is what I would do if I were in your place.

Have you had any blood in your urine or pain with urination? I had similar pain in my lower back along with blood in my urine and recently discovered it was caused by a kidney stone. You may have one as well, particularly if you haven't any other symptoms. Usually kidney disease presents several uncomfortable symptoms along with pain.

I have had the same thing and thought it was kidney disease as I am predisposed to have it.
In my case it finally came to a point where I started peeing blood due to vigorous exercise.
Went to the dr. had them test my kidney function - which was OK - and came to the conclusion of kidney stones. However, he said the only way to really know is by scanning both kidneys. (I would have had them scanned but i have no insurance)
Drink lots and lots and lots of water and see if the symptoms change for the better. Best of luck to you.

It's possible you have kidney stones. See your doctor and have a CT scan done. It will confirm whether or not you have kidney stones.