I am going to London, Liverpool, and Manchester this summer for 2-3 months to do research. It will be my first time in Great Britain and I want to get some sightseeing in when the archives are closed. I plan to stay about 1 1/2 months in London, 1 Month in Liverpool, and 2-3 weeks in Manchester. Luckily, the trip is mostly paid for, but the sightseeing will have to come out of my own pocket, and I'm a graduate student on a budget. I am an outdoorsy type that is really interested in all phases of English history. So, my questions are:
(1) I think I have London covered, but what are the can't miss sights in downtown Liverpool and Manchester? (I also kind of into exploring old and broken down industrial sites, so I'm looking forward to exploring these cities)
(2) My plan is to fly into London and then rent a car to travel to Liverpool and see Oxford, Blenheim Palace, and Warwick Castle on my way. I know that train travel is preferred, but is it ok to travel by car if you want to see some sights along the way?
(3) What are the recommended hostels in central London, Liverpool, and Manchester?
(4) I really want to rent bikes and explore the cities. First, is that recommended or is it too dangerous? Second, are there any recommended bike rental places in London, Liverpool, and Manchester?
(5) From Manchester, I want to see the Peak District, and from Liverpool I really want to take a drive through Conwy and Caernarfon - is it worth renting a car to see those sights or are there shuttles/public transportation that can take me to those places from the cities?
Any other feedback would be greatly appreciated.
Sorry to hit you with so many questions, but thanks!