The most important thing to remember when choosing sites to do business with is the reviews of the actual site. Websites like sitecritic.net can give you reliable review before you decide which sites to go for, some sites like the formerly mentioned sometimes require a small fee for the review but with enough determination you can shop around until you can find something that suits you.
Once you have a website with a reliable reputation and you know that pay out it's time to the actual survey completion.
A survey (depending on the company) will generally require twenty minutes all the way to forty five minutes to complete, upon successful completion you will be given a point system where you can cash out after reaching a certain amount of points or if you're lucky you will be given a check which can be mailed to your billing address you provided. Again you might not be making hundreds of dollars a day to start but you will start to make more once you get into a routine.
Another to keep in mind is some websites have a affiliate program where you can host an advertisement given to you by the survey site to refer visitors from your site to the survey site (make sure to have visitors complete a registration if required).