You can make it payable to me or Bicycle Works. Will check connections, BA is good outgoing but most times does not connect with a same day return. Monarch normally lines up but they charge for baggage 30GBP each way.
So most times if you go direct BA. There by midday the following day after the evening Bermuda departure, but you will need to overnight at Gatwick on the return. Will assist in the New Year when those have committed with deposits.
