If you are the executor of a trust that has property, rentals and a house, can you legally just move your family into the house? There are four of us in the trust, just what can a executor do and not do?

You are the executor in name only. It doesn't mean you can take over the property in the will, or the trust.

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Are you going to be paying rent to the trust, at full market value ?

Are you going to be paying rent to the trust, at full market value ?
I'm not the one that is planning on doing this but the executor is, that's why I'm asking.