Increasing chances of getting a research internship with no experience?
I am starting an MSc in Computer Science in the autumn and I am concerned that I don't have any research experience.


Not having research experience when starting an MSc is not a problem! One of the goals of MSc is to acquire research experience.


  However, as an undergrad I am finding it hard to identify something that is achievable at my level and to narrow down to one area


It is perfectly normal that at this stage you do not already have well defined interests.

A potentially more successful approach would be to ask your current teachers. Even if they do not have any funding in their lab, they may be able to suggest some of their colleagues and to recommend you.