We start from the M#233;tro stop at Trocad#233;ro which, while reduced to a huge roundabout by the swirling Parisian traffic, retains that stunning view of the Eiffel Tower framed by the two wings of the Palais de Chaillot. Having survived the swarms of camera-toting tourists and suicidal skateboarders, we walk south down rue Benjamin Franklin, passing his statue as we go - a reminder of past close ties between France and the US as a result of their common revolutionary heritage.
At place de Costa Rica, we bear right into rue de Passy, a crowded shopping street which used to be the main thoroughfare of the village from which this area developed. Today, rue de Passy, set in the upmarket 16th arrondissement, boasts some of the smartest shopping in town. We confine ourselves to gazing in the windows of exclusive boutiques with names like Infinitif and Bisou Bisou (Kiss Kiss). But soon we are enticed into Zephora, an Aladdin's cave of coloured oils and gels and unguents displayed and illuminated like jewels. This is the place to indulge in a free squirt of French perfume and buy some Roger amp; Gallet soap. We issue forth into the burning street feeling cooler and a great deal more sophisticated.
Halfway down the street we come to the place de Passy, where the local restaurant spreads its tables and awnings among the trees and over the cobbles - but it seems self indulgent to stop for refreshment quite so soon. Opposite is a newly opened branch of McDonald's - greatly disapproved of by British and Americans living in the area; but the Parisians (who have tiny kitchens in their apartments and seem to do as little cooking as possible) think it is great. So do their kids.
At the end of rue de Passy - having passed staggeringly expensive shops such as Kenzo and MaxMara - we cross the road opposite La Muette M#233;tro station, and find ourselves in chause de la Muette. There we marvel at one of those stunning window displays of French patisserie - tiny, gleaming mouthfuls, sweet or savoury. Martha, my daughter, yields and buys an op#233;ra - something rich and dark and chocolaty with gold decorations. A few steps further on in the heat and I give way too; we sit down at the Parc de la Muette caf#233; and drink citron press#233; at one of its cramped little pavement tables, watching the world go by.
We continue west down chause de la Muette, soon turning right on to the sandy path which leads through the jardin du Ranelagh, with children playing sedately and a puppet theatre (performances twice every afternoon during the school holidays). Crossing the avenue Prudhon brings us to the Mus#233;e Marmottan in rue Louis-Boilly - small and relatively unknown but full of treasures. My favourites are Monet's visionary waterlily paintings,displayed in a cool underground gallery where you can lose yourself in the impression of tangled light, water and flowers.
Walking back towards Trocad#233;ro, we take a different route through the gardens, passing the vast statue of La Fontaine with the fox and the cheese, and wander through the backstreets back to the place de Passy - where you can stop and buy plasters for your blistered heels from the pharmacie on the corner.
Don't miss the traditional covered market across the road from the chemist, or rue de l'Annonciation, which (except on Sunday afternoons and Mondays) is a bustling market street, full of fruit and vegetables, sea food, meat and game. I once saw a wild boar hanging from a hook outside, alongside the hare and pheasant. A La Ferme de Passy sells cheese, Jeff de Bruges sells Belgian chocolates, and the Alain For#234;t boulangerie bakes fresh baguettes throughout the day, perfuming the street every time they open the oven.
At the end of the street we peer at Balzac's house in rue Raynouard, and then turn left and walk back to Trocad#233;ro via boulevard Delessert, taking in the carousel down by the pont d'Ina before climbing up past the fountains of the Palais de Chaillot to our starting point. But if your blisters are getting you down, you can stop and have a drink in the place de Passy, retrace your steps to La Muette, and get back on the M#233;tro.