Travel depends on your precise starting point. From Solihull to BV is about 45 mins by car or an hour by train/walk - best to leave 1hr 15 to be safe.
It is possible by bus too - but that seems to take a long time.
According to DS, the fact that you get to meet your mates on the train makes the journey something to look forward to.
Also depends on your starting point. Checkout Network West Midlands journey planner here
07:17 to 07:32 Train Solihull to Moor Street (DS actually catches at Olton 07:20]
9 mins walk Moor Street to New Street [this may vary over the year because of the New Street redevelopment]
07:47 to 08:06 Train New Street to Sutton Coldfield
7 mins Walk to BV
Hope this helps!