Private Blood Tests are available in Sutton Coldfield through Blue Horizon Medicals at the Little Aston Spire Hospital. Little Aston Hall Drive, Little Aston, Sutton Coldfield . B74 3UP. This private and professional clinic blood test location can test patients of ages 15+ and does have freezing facilities, meaning more profiles are available than standard postal profiles. As phlebotomy is included and the entire process is managed by professionals, this is a VIP blood test, not a DIY blood test.