Lesser of two evils?

by Molly
(Texas)

Some background first. There are two 'stray cats' at my boyfriend's mom's home. I say 'stray' because one has been coming around for nearly two years, the other for around 6 months. They both clearly depend on her for a source of food and shelter and they are around the house all day.

Both cats are incredibly affectionate and soak up belly rubs and head pets like a dog. I'm guessing they are either runaways or abandoned cats with how trusting they are with humans. I don't think they belong to someone in the neighborhood because as I said, they rarely leave the property and clearly rely on us for food.

My dilemma is this. My boyfriend's mom is moving and cannot take the strays with her. Do my boyfriend and I adopt them, giving them a permanent home and know they will be taken care of but at the same time take them out of the neighborhood they know so well, potentially risking them running away?

Or do we leave them in the space and area they know and feel safe in but risk the new renters not bothering to feed them or look after them?
Which is the more responsible decision?

I of course would love to adopt them both but ultimately want what's best! In a perfect world, the new renters would adopt them but that would be rare, let's be real.

Anyway, thoughts??