We plan to be in London for one full day this October. We will arrive from Prague at 12:30 PM and our flight leaves the next day before 2 PM. I have formed a vague itinerary for our day there based on what we want to see and experience but I was wondering if there are "peak" times for public transportation on the weekends as this will take place on a Saturday (we fly out on a Sunday). We plan to take express into city center from Heathrow to Paddington, and from Victoria to Gatwick the next day, walk most of the time and use underground only when desperate since we will be staying near Warren Street station (near the University). I was also thinking that the bus system looks just as nice as the underground station. Any confirmations or words of advice? With recent attacks in Brussels it is tempting to take a couple taxi's but this is a budget trip after all.
Thanks.