Global warming will lead to fluctuations in temperature all over the world and will not be spread out evenly, but the global average temperature will rise.
Now if you get a map and look at the position of London in relation to many cities in the US and Canada you will see that it is far to the north of them, but it doesn't have the terrible winters that are common in Canada and the US......yet. This is because of two things, the Gulf stream and the trans polar jet stream.
The gulf stream is dependent on the Greenland ice shields and the polar ice cap as the cold heavy water from these sinks it draws in the warm water from the south Atlantic and Gulf of Mexico.
Now once the ice is gone there will be no engine to drive the Gulf stream, no Gulf stream and the Atlantic coast of Europe will have weather similar to Canada and the US. It might be even worse as the south westerly winds will no longer follow the gulf stream and there will only be easterly winds direct from Siberia.
Also the trans polar jet stream usually keeps the nasty cold weather locked up in the arctic during the winter, but in the past two years it has wobbled and allowed the cold air to slip out. That is why western Europe has had record cold winters. The cause of the jet stream failing is the warming of the pole.
So yes there may be a short term cooling of certain areas during the winters, (not the summer), but in the long run the whole world will heat up.
This has been known for some time and published in science journals frequently, check out some back copies of the New Scientist on their web site. So what's the big fuss now.
And by the way, the Daily Mail is not known for its honesty I would check out its source as the have no doubt put their own cynical spin on it.
Edit: yes there has always been climate change, but rapid climate change is rare. The worst example is the Siberian traps during the Permian age when 95% of marine life and 75% of land life went extinct. Those lava flows pumped out 2.2 gigatonnes of carbon dioxide out over a million years and brought life to the edge of extinction. We are on course to pump out more than that in the next 100 years. The only advantage we have now is that there is not a single land mass as there was then.