East Beds Dart
This is a service subsidised by the County Council and run by Chiltern Travel. It is a mixture of scheduled services and 'dial a ride' for East Bedfordshire. To use the pre-booking service you need to be registered as a user which seems to be a simple process. The number to ring to register is 0845 601 61 64.
The service for Blunham is the EB4 and looks particularly suited to those wishing to use the train services at Sandy or Biggleswade.
The web link is www.eastbedsdart.co.uk and it would be best if you read the consultation page first to get a flavour of the way it operates.