Well,you used the word evidence and said that you are convinced so share with me what evidence has you convinced.
That's a pretty tall order, I've been reading on this subject for pretty much my entire life and I've been pretty heavily influenced by stuff I've learned in college. To answer this in depth would be to write a post comparable in size to my ATF sticky. I don't possess the level of conviction right now to tackle that type of writing.
However, a couple examples of what leads me to believe life exists elsewhere is as follows:
Granted, neither of those prove life is present in the Solar System, but twenty years ago all of those systems were thought to be completely lifeless. Now we have significant evidence to support the possibility of life elsewhere, and
Titan itself has already been confirmed as a prebiotic environment, going as far as to be called an 'early Earth analog'. I included those examples to illustrate how the recent expansion of technology has opened up avenues of exploration that were not even imagined when I was in grade school. Where will another fifteen years land us? Fifty years? There are a couple of missions to the outer moons in the planning phase right now to go and see if life is there. We might see answers in our life.
With all of the potentially habitable exoplanets and exomoons discovered so far, all of which rate significantly higher on the Earth Similarity Index than does the moons of the outer planets, I find it likely that at least some of these planets would have what we recognize as life.
Heck, even Alpha Centauri, the star system that is closest to the Earth at just 4.3 light years yonder,
had a planet discovered in the system in October 2012. This is one of the most observed star systems of the 20th century, and the technology didn't exist to find the Earth sized planet in orbit of Alpha Centauri B until seven months ago. What will we find in fifteen years? Fifty?
I'm going to submit this post before it threatens to turn into a book now.
It is only a matter of time until we find a transiting Earth analog that allows us to spectroscopically analyze the atmosphere. The spectroscopic signatures of life would be unmistakeable.
EDIT- to add sources to stuff that I think of as obvious but which other members might not know about.