There are several important things to note when playing chess, these are (a) the opening, (

the attack, (c) the defense, (d) defense of the King.
There are various standard opening moves that you can find by googling "chess openings" (it's too complicated to explain in words, you're better off seeing it on a chess board). The aim in the opening is to use your pawns defensively so as to open up an area in front of your King and Queen where you can get your powerful pieces into play. Note that a game is often won or lost on the opening. It is also possible to check-mate an opponent in two moves following a bad opening.
When you advance pieces, you should ALWAYS make sure they are "covered" (i.e. so that if the piece gets taken you can take back the taker with a defending piece). Bear in mind what it is that you are advancing and into what threat you are advancing. E.g. if you advance a Queen such that it can be taken by my Pawn, I am probably going to take your Queen even if it is covered, because a pawn is worth less than a Queen. An exception to this could occur if you are trying to lure me into a trap - e.g. if by taking your Queen with my Pawn I open myself up to a potential Check Mate).
Your advance must be co-ordinated - if not, you will end up randomly moving peices round the board, not really sure of what to do next! A good strategy is to pick one square on the opponent's back line and try to get a piece onto it. Once you have a piece there, go for another back line square. That strategy keeps your attack well-coordinated and you will normally end up getting Check Mate before you need two back line squares.
The defense of the King is super-important! Not so much at the start of the game when it is surrounded by your other peices, but as the game goes on, if you are not carefull you may find yourself in a position where you are thrashing the other player, all your peices are covered, you've advanced well into their back line ... but you forgot the King and suddenly you loose the game because you get check-mated because you forgot to defend your king!
Anyway, I hope that helps!
