who told you that it is amavasya day? it is chaviti. When nakshatra is good, tithi can be ignored. These things are to be taken care of before you shift the house. There won’t be any effect now as a result of shifting on a particular day. If any untoward incident has happened to you or your family members, pls check in their horoscope. then contact in the forum with their details.
Amavasya or New Moon time is the conjunction of Sun and Moon at the same degree which has not taken place in your case and therefore there is nothing to fear about the New Moon. It is around 13 degrees apart and so nothing will ever happen bad on account of what you are afraid of. If there are unhappy movements in home, it has nothing to do with New Moon.