Hurghada is not a city you fall for. It began as a fishing village settled by Ababda fishermen in the late 19th century and officially founded in 1905, and investors found the Red Sea in the 1980s. Today it stretches about 36 km along the coast in a ribbon of hotels, with the airport at one end and desert behind. The reason to come is not the town. It is the water, warm and clear, a few hours' flight from much of Europe.
Be clear about one thing before you book. The reefs are not on the beach. They sit several miles offshore, so the good snorkeling and diving here happens from boats, and the town beaches are mostly hotel strips or pay-to-enter. That shapes the whole trip. Five days is the right length because a beach holiday here is really two boat days, one lagoon town and one long drive, with slack for a windy day and a rest day.
The plan runs day by day: the Giftun reefs and a first dive, El Gouna's lagoons, a second island day at Mahmya or Orange Bay, a very long day trip to Luxor, and a last day in old Hurghada ending with a desert evening. It works from any of the four bases in the stay section, and the guide to Egypt has the wider picture. Start on any day of the week: nothing in this plan closes on a fixed weekday that we could confirm. Keep the Luxor day away from your departure day, and swap the two island days freely if the wind is up.