How to fund a 2nd master's degree (UK), or should I directly go for a PhD?
In general there is no funding available for MSc courses in the UK. In some cases there are 1+3 courses (i.e., a 1 year MSc and a 3 year PhD) where the MSc course is funded, but in general this is not the case.

One benefit of this is that the admissions criteria for MSc courses are pretty low. Essentially anyone with a 2i or higher degree classification can find a program willing to accept them.