“Under communism you can't own a home”

Personal property ownership (assets you personally use including the home you live in) are compatible with communism. Private property ownership (capital assets, a home you rent out) is not since those are the means of production and owned publically. I think this trips a lot of people up because the finance terms are not the same as the Marxist framework.

There are a few good videos on YouTube that I am too COVID to find and link right now. But homes are straight up houses, apartments, et cetera. Some are nicer than others, but they're just houses.

As far as ownership goes, iirc if you've lived in the home 5 years (as in, you paid rent for 5 years) then you own the home. Like a rent to own in the US. I don't know how that works currently, with a lack of capitalist landlords, but that was the agreement when they socialized housing. The government has the right of first refusal if you leave the home, with the exception that you can give the home to a family member or co-occupant when leaving. You can own up to two homes.

Also, despite being run by the communist party, they are not communist. They're socialist, to use the Marxist definition. A transitionary state. Private ownership is still very much so a real thing in Cuba. They even have privately owned businesses. Calling Cuba communist is the same kind of error as saying the US is a direct democracy because the democratic party controls the Senate, or that the UK is a communist society because the labour party was in power. The party names are more... aspirational than anything else.