Simplified "Basic Strategy"

Say your total is T and the dealer's upcard is D

Hard hands

9 or lower:		hit
10 or 11:		double down if T > D, else hit
12 through 16:		hit if D is 7 or more, else stand
17 or higher:		stand

Soft hands

13 through 18:		double down if D is 5 or 6
17 or lower:		hit
18:			hit if D is 9 or more, stand if D is 2, 3, 4, or 7
19 or higher:		stand

Pairs

Always split a pair of aces or 8's
Never split 10's, 4's, or 5's
Split all other pairs when D is 6 or less

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These rules are based on those discussed in the book, "Mensa Guide to Casino Gambling: Winning Ways" by Andrew Brisman, which is an excellent reference.  If you follow these rules, you cut the house edge down to less than 1%.  Full basic strategy gets it down to about 0.5%, but is more complicated than this small set of rules.  Eventually, you should learn full basic strategy (all it takes is a little practice).