how to properly clean a car?

[Techie©]

does anyone know how to stop a car from streaking once its been cleaned?
am the owner of a citroen nemo picasso multispace,red metalic paint;photo of it straight after its last wash here:

Spoiler (Click to View)

-just about showing streaks/dirty stuff in that photo though its more gruesome really close up.
photo to prove am the owner of it and its not some random lift off google/wherever:

Spoiler (Click to View)

-am not the driver of it, its a motability car with open insurance, so am not car savvy when it comes to looking after them.

everytime have washed it with staff,its always turned out looking really grubby,often worse than before we started.
am using some sort of car shampoo that dad bought from wilkinsons or poundland-think it has the name tripple wax in it.
we wash the car down with that stuff,then we hose it off.

where are we going wrong?
are we leaving it on to long or not enough time? or shoud we be using better shampoo?
it is cheap crap granted,thats dads fault had told him to pick up some decent car shampoo and the cheapskate in him comes back with that.


thanks in advance for any tips/advice.