Congrats! I have a method of "deep cleaning" and "regular cleaning" I can tell you about.
Here's a link that describes the process. Good for those used records you pick up from flea markets etc where the owner might or might not have cleaned them well. Also for records you haven't played in years.
http://rateyourmusic.com/list/gmku/g...se_old_records
For regular cleaning, I use a microfiber cloth like you can pick up at optometrist offices, and a 50/50 mix of distilled water and denatured alcohol. Most often, if I think a record is generally pretty clean, I just wipe the surface gently with the cloth without using the solution.
You should also invest in a small camel-hair or other soft hair artist's brush (very tiny one) and use this, with a little dip in denatured alcohol, to clean the tip of the stylus after every few plays.
But the best thing you can do is buy only vinyl that's in good shape to begin with. Find a used record store you can trust.