Here's my method.  Hope it helps...

I understand that the "best" way to clean is to buy a vpi machine for $600+ ... but this works great for me.

     Swiffer Dusters!  Before it goes on the player and for the sleeves.   The blue ones, not the cloths are great for removing dust and some static.  I pull out the little cloth strips and use just the blue fiberous stuff.  After many uses the hairs will start to mat so I'll run something like scissors through the knots to give it some more life. 

     Much of the snap, crakle and pop you hear on Lp's is due to static.  If you've got some space to devote this is an easy, couple of minute process.  You'll need the following:
Clean(new) 2 1/2 inch polyester paint brush
2 Clean(new) tiny artist polyester artist brush- soft but kinda stiff
Spray Bottle
Denatured Alcohol
Distilled Water
Microfiber cloth/s
Desk Lamp
Soft Cloth/Towel (I'm using an old flannel sheet) to work on

The cleaning solution I use is 1 to 5 or so alcohol to distilled water.

1. Clean the record throughly with the swiffer.  Try and remove as much debris as possible.  If you've got a record brush you like use it to dislodge any thing stubborn that will come off without liquid.  An extra microfiber or one of the brushes is good for those little caked on things.
2.  Lightly spray the big brush with the solution so it's not completely dry, but mostly. 
3.  Lightly Spray around the record avoiding the label.  Again not much solution. 
4.  Run around the Lp Counter-clockwise with the brush while applying light pressure at the label to avoid turning the record. 
5.  Spot-clean quickly with little brush if needed.  fingerprints etc.
6.  Run around the Lp LIGHTLY with the microfiber.  You don't need to dry it just even out the moisture.  It should evaporate due to the alcohol(lamp will help).
7.  Repeat as needed on a smaller scale for trouble spots. 
CAREFUL- as you know if hit the wrong way vinyl it is easy to scratch.  Fingernails, Brushes, Lights... all very dangerous 
This should greatly reduce noise due to static.  If the record is very dirty something more extreme might be in order.  You dont want to wet the dirt and turn it into caked mud and not remove it.