Hello. I've never been on a train before and I've never been to London either. I am trying to put together a travel plan for what sights I want to see while I'm there. My current plan is getting there on an early train and then getting a late train back. I'll be travelling from North West England and the train arrives at Euston Station. It also departs from Euston. The train takes around 2 hours 30 minutes to arrive. I am expecting to have around 8 hours to spend in London before having to get back to Euston for the return train. Here is what I would like to see if possible.
British Museum
Science Museum
Natural History Museum
Tower Of London
London Eye
St Paul's Cathedral
When considering the time travelling between each place and then time spent queueing etc, I am not sure how much time I would need exactly. There isn't really enough time to see everything unless I was planning to stay overnight. It would cost me more to stay in a hotel overnight than what it would cost for the train there and back and the entrance fees for the attractions. What are your thoughts? Do you think 8 hours is enough to see most or all of what I'd like to see?