This might be a bit late - I only just discovered the student-parents section on MN! But you did write that you still had some time to decide so for what it's worth, here's my 2c:
I'm currently doing a sociology PhD. At my uni, there is quite a large range of sociology MSc courses to choose from. Some of them are heavier on the quantitative aspects, some less so. My uni puts a particular emphasis on qualitative methods, so a typical "research methods" module may involve maybe two or three sessions on surveys and statistical data analysis, whereas the rest will focus on interviewing methods, participant observation, coding, grounded theory, and the works.
As far as I know, only those who do a "research" MSc are forced to do more quant stuff. At my uni, they expect to teach you proper statistics if and when you start doing a PhD which requires quant methods, not before (in Sociology at least, that is).
Just as a framework, my uni is among the top three in the UK regarding social sciences.
So to sum it up:
If you don't think you'd be going down the quant research path in the future, there are lots of sociology MSc's open to you that do not require advanced understanding of statistics/quantitative methods.
(That said, quant methods are excellent "transferrable skills" for the non-academic job market.)
The level of statistics required is eminently attainable.
Another comment: ESRC grants for sociology are extremely competitive these days. People say they are probably about 10 times as competitive as they were just a decade ago. It is not enough anymore to have excellent grades and references... your statement that describes your research interests must also be extremely good. Preferably, you'd be interested in something that is of enormous public interest and promises to yield ground-breaking results that have a real and measurable effect on the well-being of people in the UK now... although of course that is not very likely to happen at master's level.
Anyway, best of luck in your decision-making and with your funding application(s)!