Is it true that evil spirits can follow us to a new house if we bring old things from our haunted house? Are there any clear references in Islam regarding such matters?
If you think that you have an object that is causing you a problem due to unwanted spirits, put the object in a different location (outside your new home) and see if it helps.
I have always assumed that part of the reason why drawings/statues of animate beings, as well as certain other items, are discouraged in hadith (Sunni and Shi'i) is due to the possibility that they can sometimes become inhabited by unwanted spirits (even if this does not usually happen) (that is to say, it is not only about idolatry, as it is usually understood today).