Thousands of people have offered up spare rooms to resettle vulnerable refugees fleeing violence. At present neither of the two government run resettlement programmes can accept such offers and so in the short term they cannot be used to help Syrian refugees.
That said there are tens of thousands of destitute asylum seekers in Britain who are denied the right to work and often have no access to housing at all. They urgently need people to open their homes and are just as deserving of safety. You can connect with charities that help people with such hosting here:
The national network of over 35 local groups
NACCOM is a national charity supporting local agencies that provide accommodation for destitute asylum seekers