I got two electricians to come out and look at my 1939 house. I wanted to see if the wiring needed upgrading.
One person opened up a receptacle and said I had cloth insulated wires and that I need to rewire the house...including bringing everything up to code. This includes adding outlets to walls that don't have it. It includes adding hardwired smoke and CO2 detectors. It also includes re-wiring all the light fixtures too. Cost ~14k
Another contractor went up to the attic with me and saw old metal conduits and said that it was actually in good shape. He said that as long as the wires are inside the conduit it would be fine. He also saw that in the house there were some receptacles that are not grounded, have ground and neutral reversed, no neutral or ground... I asked him about cloth wire and he didn't seem to think that was an issue. As long as it is in conduit it was okay. Cost: ~$800 to make sure receptacles are grounded and properly wired.
Who should I listen too?
This is the type of conduit in the attic. It may be BX (armored cable) as mentioned by by @ThreePhaseEel.
The house has 3 bedrooms, one bathroom, a small dining room, a living room and a kitchen (total ~ 1400 sq/ft). Some outlets are actually grounded (at least that's what my tester tells me).
The outside of the wire actually feels a little tacky...almost rubber-like.