Sticking my nose in to recommend a cheap ticket for Southern Trains - the
Southern Downlander. Book online 2 days before and print your own ticket, £12.50 for all day travel (after 10am on a weekday) on all Southern trains, will get you from Portsmouth to London. £10 for the South Coast without coming near London.
I have a compulsion to tell everyone about these things, as they are brilliant and no one has ever heard of them. Half the time including the train staff. I think I'm now responsible for about half the sales of the things because I tell so many people about them.
I use them all the time for day trips, all down the South Coast. Last time I took my sister, I think to Hastings, we had similar problems re. bad parenting. Only the ineffectual middle class version. My sister didn't understand why I only criticised the parent and not the child, but if the woman had been looking after me I'd have behaved badly. You have 2 children who are fighting you do not move them together to different seats you sit between them. You do not tell them that their father might not take them out tomorrow when he hears how terrible they have been you actually take responsibility and lay down clear consequences yourself. It isn't that difficult. Someone actually moved to another carriage because of them. I was sitting there with my sister who must have been 9 or 10, but looks about 3 years younger, as she quietly wrote in her notebook the whole journey (it is such a bonus to travel with a child who looks younger because you get a kind of boost to their behaviour and manners because it exceeds expectations, but she is pretty well behaved and even not being a parent I can
make her behave if needed).
Hoping to go to Chichester for the day in a couple of weeks, and then get the bus to the sea from there. (Those train tickets are pretty much my summer plans...)
And also to nitpick - neither Victoria nor the theatres are in the East End of London. I think you mean the West End, which is central London with most of the theatres. East End is more cockney than that.
Victoria J. (In the East End)