Whereabouts in Birmingham are you?
I did my dairy placement in Sutton Coldfield at a nice, fairly small (milking 80-100), farm but everything was explained well and I was able to do lots.
I know people who do milking in Abbots Bromley and Lichfield too, if they're not too far for you to travel; they breed top quality cows for showing around the world so could be interesting placement.