Which Airport has the quickest and the cheapest public transport systems to Birmingham? Luton Airport or Stansted Airport?

I will be visiting Birmingham, but I want to know which of these airports, Luton or Stansted has the cheapest and quickest transport systems to Birmingham. Could you please explain the cheapest and the quickest options available, Are there any bus or coach options that go from these airports direct to Birmigham,... show more I will be visiting Birmingham, but I want to know which of these airports, Luton or Stansted has the cheapest and quickest transport systems to Birmingham.

Could you please explain the cheapest and the quickest options available,

Are there any bus or coach options that go from these airports direct to Birmigham, or do all transport services go to London first?
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