Distances in Cairo deceive: a stop that looks close on the map can cost you half a morning in traffic. The order below keeps the east-bank stops in one walkable block, parks the Grand Egyptian Museum next to the plateau, and saves the river for the evening.
The Egyptian Museum in Tahrir Square
Tahrir Square is the wide, loud center of modern Cairo, and the Egyptian Museum stands on it with a collection pulled out of tombs and temples across the country. The Tutankhamun galleries are the draw, and the golden mask is inside them.
Go at opening, before the coach groups arrive. The Tahrir building is the older of the two collection spaces, so work upward instead of reading every label and keep the rest of the day loose.
The Grand Egyptian Museum
The Grand Egyptian Museum is the reason to give Cairo a full day rather than an afternoon. New exhibits are still being added to a collection that never sat comfortably in the Tahrir building, and the scale is what surprises people: you do not stroll through it, you work through it.
Book a morning and leave the afternoon free. It sits on the Giza side of the river, so pair it with the plateau on the same day and save yourself a second crossing.

Khan el-Khalili Bazaar
Khan el-Khalili is a grid of alleys rather than one street, with Ottoman-era mosques and small tea houses in the same lanes, and the tea houses stay full late into the night.
Agree on a price before anything is wrapped, and treat a detour into a side alley as the point rather than a mistake. The bazaar is a working market, not a staged one.

The Mosques of Islamic Cairo
Islamic Cairo is the older city inside the modern one: streets that were never built for traffic, minarets above the roofline at every second corner. The mosques here are working buildings rather than exhibits, which changes both the atmosphere and your behavior inside them.
Dress modestly, carry a scarf, and arrive in the morning when the courtyards are empty and the stone is still cool. Time a visit outside prayer times, and remove your shoes without being asked. Walking between a few of them teaches you more than trying to see every one.
Coptic Cairo and the Old City
Coptic Cairo sits apart from the bazaar rather than beside it: churches and Islamic buildings share the same few blocks, and the streets narrow into the oldest layer of the city once you leave the main road. It is quieter than Khan el-Khalili and far quieter than Tahrir, and it reads as a neighborhood rather than a monument.
Come early, before the tour groups, when the lanes are quiet. Check opening times at the church doors instead of assuming them. Two or three lanes are enough to see; the neighborhood is the point, not the checklist.
Al-Azhar Park
Al-Azhar Park is the green space the city added late: lawns, paths and terraces looking back over the rooftops and minarets you have been walking under all morning. In autumn the trees turn gold, which is the reason to put the park at the end of a walking day rather than the start.
Arrive in the late afternoon with nothing scheduled after it. The view from the upper terraces is the reason to time it that way.
The Nile Corniche and a Felucca Ride
The Corniche runs along the river for a long stretch, with bridges overhead and gardens breaking up the traffic. In the evening, the walk fills with families and food carts, and the river gives you a horizon the rest of the city does not.
Walk a section in the last hour of light, then take a felucca. The sailboats work the river at sunset because that is when the wind and the light cooperate. A felucca is the open-boat version of the same view, and the fare and the duration are agreed before you board.
Best Things to Do in Cairo After Dark: A Nile Dinner Cruise
The dinner cruise is the seated version of the Corniche. The boat runs after dark, the bridges light up, and the city turns into a skyline you cannot see from street level. It is touristy, and on the night you land it is also the right call: you are fed, you are seated, and nobody has to navigate a restaurant while jet-lagged.
Book it for the arrival evening rather than the last one. If you want the river without the show, take a felucca after dark instead and eat on land.

Koshari, Falafel and the Street Food
Koshari is the dish to start with: rice, pasta and lentils in one bowl, topped with tomato sauce and fried onions, sold from counters for a few dollars. Falafel comes next, and grilled kebabs cover the evening.
Eat where the queue is local, and the turnover is fast. A wrong guess costs almost nothing. Skip the ice from street carts and drink bottled water.
Saqqara, Memphis and Dahshur
Saqqara and Memphis fill a half day south of the city, and they reward the traveler who has already seen the famous site and wants the quieter one. In autumn Saqqara sees fewer crowds, and the site reads better when nobody is standing in front of it.
Dahshur is the add-on most people cut: the Bent Pyramid and the Red Pyramid, out in the open, with low autumn light that makes the drive worth it. Adding it means another drive on top of the half day, so give the three of them a full day with a driver rather than an afternoon.