Being a devoted Nikon Rf and M2 user, I mostly shoot meterless. With my standard film (Tri X) it is easy. Over the years you learn to pick the light and settings. I do carry a meter, a small Gossen, but I rarely take it out of the pocket. Occasionally in extreme light (very high contrast or low, really low light). I do check my guesses sometimes as you wander about. "Hmm, wonder what the reading would be here?" and file away the information. The trick is to standardize on a film and process. It is not only a matter of getting the right exposure, your result is also affected by how you process your film.
The best way is to get at least one 100 ft spool of what you will be using the camera with. Load this and go forth and shoot it without a meter. Process quickly so you remember the settings you used and look at them.
Most likely you will find that you are getting it right 70-80% of time for outdoor shooting. Put that information in the best meter of them all, your brain. Look at the misses and figure out where you went wrong and reshoot, using the information from the misses. Once you have shot the 17-18 rolls, you will never (well, almost never) miss a shot due to exposures.
The S3 is a very good machine for this and if you got the Millenium lens with it, that is about as good as it gets!
Enjoy the ride and the speed with which you now can shoot. I find that a metered camera does slow me down as the eye is conditioned to look at small glowing diodes when they come on and that breaks the concentration. So, you will miss stuff occasionally, but obviously your S3 is a camera for your own pleasure so that is not critical.