My MIL died and left her house evenly to her 4 sons, one of whom was living there and had little money. We think that she intended the rest of the brothers to just subsidize the one brother's existence - let him stay there for free even though he owned only 1/4 of the house. But the other brothers did not see it that way. They wanted the cash from the value of the house. Maybe it sounds kind of harsh to you, but it is their money and they had a right to it. The house was sold and the brother who was living in it was given his 1/4 share and moved into an apartment.
The executor does not have the ability to do whatever he wants with the house, he has to follow the law. But he does have a duty to divide the assets and the only way to divide the value of a house is to sell it. He also has the responsibility to take care of assets in a responsible manner. If you are living in the house which is owned by the estate, you should be paying rent to the estate. If you have the money to buy it from the estate, then you should make an offer to do so, but if you can't, then its probably going to be sold. He probably wants you out so he can prepare the house for sale. Maybe you can offer to pay the estate rent until the sale goes through so that you don't have to move right away.
Oops, just saw your last note that the brother wants to rent it out. This sounds like a temporary thing, but can't you just rent it from the estate? Why do you need to get out so he can rent it to someone else?