Reddit reviews Russell: A Very Short Introduction

It's even more surprising when you learn that Grayling himself wrote a short book on Russell a few years ago. I guess nothing made an impression?

If you're starting off fresh with Russell, try A.C. Grayling's very short introduction in the Oxford series. Grayling is a philosopher in his own right, and this series is very helpful. Beyond this, I honestly couldn't be of much assistance, as I myself haven't read Russell. However, this should give you the gist of his thought and some direction on where to begin reading him. Best of luck!