London may not be the obvious pick once the summer crowds thin out, but autumn is when the city arguably shows its best side. Crisp mornings, golden leaves crunching underfoot in the parks, back-to-school energy in the bookshops and pub corners that suddenly feel cosier — the season suits the city, not the other way round.

A well-paced one-day route starts at Monmouth Coffee on Monmouth Street in Covent Garden, where queues of locals and the smell of roasting beans set the tone. From there it's a 15-20 minute walk north to Bloomsbury, the old neighbourhood of TS Eliot, Virginia Woolf and Charles Dickens, for St John Bakery's cinnamon buns and sugar-dusted doughnuts next to the London Review Bookshop.

Marylebone is the midday anchor and it's made for this time of year: leafy streets, Georgian terraces and a tight cluster of excellent indie shops on Marylebone High Street, Marylebone Lane and Chiltern Street. Browse Daunt Books, KJ's Laundry, Monocle and TOAST, then finish at James Smith & Son, a wonderfully old-school umbrella shop. Lunch options run from The Hart pub (the banoffee pie is the local benchmark), to Angela Hartnett's Café Murano for chicken Milanese and tiramisu, or Jikoni for Ravinder Bhogal's spice-laden menu — the prawn toast scotch egg comes highly recommended.

Culture comes cheap and quiet at The Wallace Collection on Manchester Square, a townhouse gallery stuffed with fine art from the 15th to 19th centuries, usually far less crowded than the big national museums. Then head west through Marble Arch into Hyde Park, where the greens and ambers turn to burnt gold and rust — the city at its most photogenic.

The evening drifts through Mayfair: a browse at Farm Shop, the smart grocer stocked with goods from Artfarm's 1,000-acre Somerset farm (batched espresso martini and chutney optional but likely), then a pint of Guinness and a bag of Taytos at The Audley on Mount Street — more polished than your average boozer. Cocktail hour belongs to The Connaught, where Agostino Perrone pours what many consider the best martini in town, complete with self-replenishing bar snacks.

Dinner closes things at Wiltons in St James's, London's second-oldest restaurant. Open since 1742, it's a wood-panelled institution that has hosted statesmen and society figures for generations; settle into a booth for classic British cooking — the twice-baked Stilton soufflé is the dish to order.

Who's this for? Anyone with a free day in the capital between September and November who'd rather walk the city than queue for it. The whole route is walkable, tightly packed between Covent Garden, Bloomsbury, Marylebone and Mayfair, and mixes free sights (the park, the gallery) with a few splurges. Book lunch and dinner ahead — Wiltons and The Connaught bar fill up fast — and keep an umbrella handy, because this is still London.