Your rights to transport are set out in a number of UK Acts of Parliament and Statutory Guidance (don't be fooled by the label guidance, in the UK a statutory guidance must be followed) and case law.
IPSEA (Independent Parental Special Education Advice) have a very good section on Transport that every parent of children who have transport should read. There are some interesting case law summaries about transport.
If you receive transport from the LA the key points that you should be aware of though are:
All journeys should be stress free.
Statutory guidance says that
BFC specifics include the following
Often parents can apply for bursaries from colleges for transport costs where the need is not met by the borough. You will need to ask your college directly about these..