Well, I have already taken one child out of the care system and her needs do not allow us to take another. But I have and will continue to donate to charities supporting Syrian refugees.
My grandfather was a child refugee from Nazi Germany - well, an unaccompanied male teenager, who might well have found himself on the front page of the DM for lacking the 'cute' factor. He had to fight desperately long and hard to get his parents into England - it was extremely hard to get a visa, one of the stipulations was that you had to prove you wouldn't be a drain on the public purse, and pre-war Nazi Germany would only allow Jews to leave without taking any money or valuables (after the war started, of course they couldn't leave at all). So you had to find employment in advance, or somebody who would guarantee to meet all your living costs.
Many British families, especially British Jews, did offer to sponsor refugees - but of course there were far more refugees than there were sponsors. My great-grandmother ran a training school in Berlin to teach middle class Jewish women housekeeping skills, as domestic work was pretty much their only escape route.
Nobody, but nobody, wanted to sponsor my great grandparents. They were well into middle age and didn't have a lot to offer as workers: my great-grandmother had never worked, and her husband had been tortured in a concentration camp and was wrecked both physically and mentally. In the end my grandfather persuaded an electrics company which had once done business with my g-grandfather to sponsor him. They got one of the last boats to leave Germany before war broke out. Obviously, not all their family were that lucky.
I'm sharing all this because there are so many parallels between then and now. I think most decent people would be horrified at the thought that Britain had denied refuge to men, women and children who were then murdered by the Nazis - but that is exactly what happened. It was easy for them to do so because most of the population weren't bothered and their apathy was boosted by a climate of anti Semitism (greatly encouraged by the Daily Mail). There was a kind of suspicion of all foreigners, and a reluctance to see any real difference between German Nazis and German Jews (my grandfather was interned on the Isle of Man alongside Nazi sympathisers, as an 'enemy alien').
We are still one of the richest, most privileged countries in the world. If we can't help, who do we think can? If war broke out in the UK, wouldn't we all do whatever it took to get our children to safety - and how would we feel if, say, Sweden refused to give them shelter?
We can all do something. It's not an all-or-nothing "If you're not prepared to foster a Syrian you have no right to say anything at all". Give money. Protest. Send support packages. Sign petitions. Don't be derailed by people deriding you as a liberal luvvie: these people are on the wrong side of history. Remember that the Holocaust is barely history - my grandfather is still alive, Alf Dubs (who I have met) is still alive. We owe it to them than to sit in our front rooms sneering about do-gooders.
Sorry for the rant - you can tell I have strong feelings on this subject 