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Whether or not you can make money from affiliate programs and/or from AdSense depends on the focus of your site, the amount of competition, your writing abilities, your programming abilities, your ability to get links and traffic.... There are a lot of variables, so it is hard to answer your question.
If you just look at the probabilities, I'd say that MOST people in your situation, starting from near zero, do not manage to make a living from affiliate programs in three months, or even in six months. Which doesn't mean you can't do it, just that it's unlikely.
As far as affiliate programs, be sure to try out some programs that are on topic with your site. It wouldn't hurt to use AdSense as well. I use a little of both on various sites and have been happy with the results.
It could be a while before you realize any reasonable amount of money and probably even longer to support yourself, let alone if you have a family.
If you are leaving your job, your plan to start on your site is a good one, but unless you have the financial resources to buckledown and live without any income for an extended period of time, I would look for another job first, and then build up the sites on the side.
You certainly could get lucky and have substantial money rolling in right off the bat, but that is not the normal experience for most people, no matter how much they want it nor how hard they work.
Even better, if you can manage to stick it out at your current job and get serious about your site then that is the most advisable path. Most of us have been in an uncomfortable employment situation where we just wanted to get out, but sometimes that is not the best move.
So if you have to work all day there, and then come home and put in another full day on your site, and do nothing else, you could get something going, but you will basically need to put everything else on hold.