babysitting

I currently babysit part time in the US to supplement my full time income (gov't doesn't pay much) and was wondering if, while I am studying for my masters full time in the UK, if babysitting would be a viable part time option? I have heard that it's not as common to hire strangers as it is in the US. I have been quite successful and have great references - any advice?  I won't be moving until August.  Thank you!