We will be staying at a Travelodge near the Tower Bridge and picnicking many of our meals. I've looked at google maps and found three supermarkets within half a mile of the hotel. Could you tell me which I'd be best off frequenting to pick up some simple but tasty items that we could take for lunches and breakfasts, please? The three I've found are Tesco, Waitrose, and Cityside Supermarket. Thanks for your consideration.