If I were you, I would wait until they open the $3 Billion Grand Egyptian Museum next to the Pyramids.
I just came back from an 18 days trip where we visited the newly opened "Mummies of the kings museum" and they said this is nothing compared to the grand museum with windows overlooking at the pyramids. All the monuments in the current museum in Tahrir Square will be moved over to the new one and presented nicely. It will take a week to just run through the new museum.
The old Egyptian museum in Tahrir Square is old and in my view is not worth it as you have tons of monuments sitting there but not presented right. You can hire a tour guide in the entrance or they will approach you which they did in 2019 and he will go through the exhibits including king TUTs.
I rented a car for about $500 from expedia/sixth but you need to know how to drive there. For me, I am used to this as I drove in almost all continents and in very rough places. I would put it a hair harder then Turkey. Uber/Karim works perfect and cheap too.
We visited lots of old churches and monasteries from 4th century as well as the newly built cathedral of the "Birth of Christ" in the new capital that is being built and should open this year.
Also best way to visit Luxor and Aswan is by taking a 3 or 4 days Nile Cruse. It is about $400 per person including flight from Cairo, food and transportation. It starts in Aswan or Luxor and ends in Luxor or Aswan. You fly to one city and fly out from the other back.
Had an amazing trip and lots of GREAT food. I have to say also it is getting expensive from we last visited in 2019 but this is going on everywhere including Seattle.
I will try to add some pics when I get around it.