Ideas For Privacy Screening?

Hi there everyone, I have some privacy screening questions. When I step out of my side door into the garden, my neighbours house is only about 9 metres away on my left side. The side door of their house points towards my garden. Although it is already partially obscured by a fence, the problem is the fence looks similar to the picture below (it's an example only pulled from Google) and the top part of the fence is eye-level so they can still look right into the garden.
They are nice enough people, it's just that they use their small garden very frequently everyday. This means that whenever I go out for a smoke, one of them is almost always outside, often looking directly into my garden and at me, which is starting to feel a bit intrusive.
What I'd like to do is either get some sort of vine to grow over the top part of the fence, to obscure the view more effectively, or to strategically angle some sort of dividing screen or garden parasol outside my side door so that when I step out, some large objects blocks their view.
Any ideas would be appreciated (please bear in mind I'm on a very low budget).
Example fence from Google Images:

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You could try, jasmine, honeysuckle, passionflower, climbing roses. If you have a B&Q or Homebase near you, check if they have a reduced stand. You could pick up a couple of bargains. I haven't been for a while myself so I must do that.
Thanks for the suggestions Gardenmaidan, I'm going to research them and see what would work. Do you know how long they take to grow and how weather-dependant they are? Luckily, I have a B&Q quite nearby me so I should pop in there and have a good look at some of their stuff for ideas too - not sure what a "reduced stand" is?
B & Q plants are total rubbish.
Gorguruga, a reduced stand is where they put the plants that have finished flowering.
NorthernLass2 I have got some bargains. Erysimum, Rudbeckia, Heuchera, primula. They weren't in flower when I bought them but have flowered this year. I guess every B&Q is different.
A clematis could work well.
Ceres : Thanks, I'll look into Clematis in just a moment (via Google and Youtube).
Gardenmaiden: Thanks for clearing up the "reduced stand". I've been researching honeysuckle and it looks like it might be perfect. I was wondering though if I'd be able to grow it on a wire which isn't attached along the fence. If I attach one end to the fence, and then pull the wire diagonally across and attach it to the edge of my shed (which is still next to the fence but about 1 ft away).
Basically the I want to do this is so that the plant doesn't grow over into the neighbours garden (and potentially cause any disputes about the fence). Would it be possible to grow it on just the wire alone, about 3 metres in length, hanging in mid-air attached at just both ends?
Do you think this will do the trick:
http://www.amazon.co.uk/gp/product/B00ONU4B3U/