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There are frequent trains from Birmingham New Street to Church Stretton (via Shrewsbury) They are operated by Arriva Wales and London Midland.
Church Stretton is a quaint small market town typical of England in the Shropshire Hills which has easy walking access to the surrounding area. The area was known as little Switzerland in the Victorain era. The Shropshire Way passes through the village which is popular for walkers especially in the summer months.
Although there are bike routes through the area from experience I would say Shropshire was more popular for walkers given the hilly terrain than cycling.