I wish to help you with the process in which i prefer cleaning my windows.
Gather your supplies, including the squeegee, household sponge, plastic scrubby (same you use for Silverstone or Teflon surfaces), soft, white and absorbent cotton rags, a bucket with cleaning solution made of:

* 1/2 Cup Ammonia
* 1/2 C White Vinegar
* 2 TBL. Cornstarch
* 3/4 Gal. of Warm Water

Stir the above ingredients gently making sure that the cornstarch is thoroughly dissolved.

Dip the sponge into the solution, beginning at the top and work your way down. Be generous with the solution and apply with a rotating motion making sure you get right up against the window casings, top to bottom and side to side. When the window has been thoroughly covered, you might use the scrubby and go over it again while it is still wet to dislodge any dried on dirt. Work fast. Then you can go over the surface again with the sponge.

Take one of the soft clean cotton rags and run it along the top edge of the glass, drying about 3-4 inches down from the top. Then take the squeegee and begins wiping the solution from the window, using strong, smooth strokes. Start at the top and work down. At the end of each stroke, wipe the blade of the squeegee with your soft clean rag. Continue until the whole window has been dried with the squeegee. You may have to use your soft absorbent rag to go around the edges and mop up solution that dripped.