With bikes bags and all what is the best money to time ration mean of transportation???

Helicopter.

Fly or get the train. It's only actually 2 trains and not that bad if you're on the right ones. It's even possible to do it sometimes without changing station in London – though the trick here is to change at York. Then it's a platform change at most.

Flybe for about £60 if you get the date right. They take bikes, though don't know if they charge extra.

Bikes are charged and extra 15 £ each and luggage is about 10 £ more