We are arriving early morning after an overnight flight from Canada, so we will be groggy. I would like to stay near Waterloo Station for various reasons, but I want to avoid changing Tube lines on our first morning and at rush hour with luggage. I'm thinking about taking the Heathrow Express to Paddington or Tottenham and then taking a taxi or Uber to Waterloo. (Taxi from the airport is way too expensive).
Has anyone done this? Are taxis easy to get at either of those stations? Would the cab fare be reasonable at rush hour, or should we just suck it up and get on the next tube line to Waterloo?