Gerry it seems like you may not need any help, you may just need to get out of a time consuming habit. I will have a go at trying to explain for those who may need help.
Practice on a window, clean the window normally but do it very slowly, watch what is happening when you go across the top and down the sides, the marks that you are leaving behind are not there because of bad luck, they are there because something is happening to put them there. Sometimes you will find on a particular window you leave nothing behind, this is not good luck, it is because of certain rubber mouldings keep the end of the rubber on the glass. Now the times when you do leave something behind look very close and see why, the squeegee rubber is riding up on to the mouldings, this causes a gap between the glass and the squeegee rubber, which in turn leaves solution behind.
First off make sure you have a soft rubber, hard is no good it will leave marks down the sides. Probably the easiest way is to go across the top and down the sides at the proper angle, you want to go down the left side at this angle/ and down the right side at this angle\. Now see what is happening
Like I said it depends on the window, they are all different, if you can see, and understand what is causing the marks that you leave behind, then you are halfway there, it is just a case of perfecting your squeegee technique so that nothing is left behind.
This is quite hard to explain in an email it would be much easier if I could show you.
Good luck,
Peter