Woah woah woah, back up here. Why would you want to move out of this goldmine? Lets assume that you're correct and it's a real haunted house and not schizophrenia/people-in-the-walls/mental-abuse-by-your-sister.

You were in a house where objects were repeatedly, purposefully moved without human intervention. Just take a look at the incident where key lime juice got into the oven: either the haunted house teleported it from your fridge to your oven, or the haunting house generated action-without-reaction and floated it from the fridge to the oven.

[*] In case A, you've just broken the Theory of Relativity and can help humans colonize the stars with instant teleportation. Please collect your 100 nobel prizes, 100 billion dollars, and knowledge that you've protected all of humanity from any possible existential risk.

[*] In case B, you've just broken the Laws of Thermodynamics and can help humanity defeat entropy itself. Please collect your 200 nobel prizes, 500 billion dollars, and the knowledge that you've literally saved all of existence for all time.

You've gotten the most valuable thing that has ever existed on this planet living in your house, and you want to give up ownership.

Either that or your sister is crazy and hates key lime juice. 50/50 equally likely.