Hello,
I'm flying there from India. If everything goes fine with VISA, I will land there on 26 th July 7 pm at Heathrow. ( This is my first international travel)
1. My relative, who is providing me accommodation stays at Chesham,Buckinghamshire. So, with bike box and a bag I have to reach his home. Please suggest me a feasible economic way to reach there (In a detailed manner).
Well, if you can carry/push your bike somehow then you can get the underground to Chesham, but with a bike you want to be doing it off-peak times...which you obviously will be at 7pm+. You'll have to check out the London Transport site for details on transporting bikes on the underground, but it shouldn't be a problem. THe A30 is a stanard single decker bus, and might prove difficult transporting a bike. But again check web sites for details. But the A30[remarkably!] starts from Heathrow and finishes in Chesham. But the underground is your second best bet really. You'll pick it up at Heathrow, go into the city and then come back out from there. [See map for details].
Best option though is getting picked up from the airport. As LWB says, traveling with a bike in a box on public transport is a royal PITA, especially after a long flight. Much better to get picked up if you can.
3. Can anyone suggest if there are any bike shops in/around Chesham, in case something fails with bike after I assemble there.
Well, I live in Chesham, have a few tools, have a bit of knowledge [as long as the bike is pre 1970
]and I don't mind helping you out, so you can get in touch if you run into issues. I will be helping out at the St Ives control, but I'll be about in Chesham the days before, so I will be about when you arrive, that's fine. I can say that with the comforting knowledge that there won't be many people coming to Chesham to do LEL
The only bike shop in Chesham is Stronnells. He's the son of a long established bike shop here, and knows his stuff.