Excellent choice of handgun, I always like seeing a new shooter that really did their research and tried out a wide variety of guns rather than just buying what's popular or cool-looking or whatever the salesman recommends. You're off to a good start, and welcome to the forum!
There are lots of good places online for buying cleaning supplies and other accessories, MidwayUSA is a good place to start. Everyone will have different preferences on methods, products, and frequency, and although I suppose there are a few wrong ways (use common sense), there isn't really just one "right way". I used to clean my guns immediately after every trip to the range...that got to be tiresome, now I've settled down a bit, I wipe them down with a silicone cloth after shooting/handling but usually only really clean them every thousand rounds or so. If I'm giving something a thorough cleaning, I like to use Hoppe's Elite Gun Cleaner followed up by Hoppe's Elite Gun Oil, but for most general cleaning/lubrication I just use Breakfree CLP. Lots of other good products out there too. I use a brass brush and jag on a cleaning rod to clean the barrel, though some prefer bore snakes. As has been mentioned, the manual provides good info on the details of what to clean and lube.
There are lots of good places online for buying cleaning supplies and other accessories, MidwayUSA is a good place to start. Everyone will have different preferences on methods, products, and frequency, and although I suppose there are a few wrong ways (use common sense), there isn't really just one "right way". I used to clean my guns immediately after every trip to the range...that got to be tiresome, now I've settled down a bit, I wipe them down with a silicone cloth after shooting/handling but usually only really clean them every thousand rounds or so. If I'm giving something a thorough cleaning, I like to use Hoppe's Elite Gun Cleaner followed up by Hoppe's Elite Gun Oil, but for most general cleaning/lubrication I just use Breakfree CLP. Lots of other good products out there too. I use a brass brush and jag on a cleaning rod to clean the barrel, though some prefer bore snakes. As has been mentioned, the manual provides good info on the details of what to clean and lube.