Referring this question to Dr. Hatem Al-Haj, he answered:
It is controversial whether the reward of bodily acts of worship aside fasting may be granted to the deceased or not and that includes reading the Qur’an.
The stronger position is that it is permissible since it is allowed to perform hajj and send its thawab to the dead and that hajj is made up of both bodily and financial acts of worship.
Therefore, a Muslim may grant the reward of such recitation to any Muslim except the Prophet who gets a share of the reward of all of our acts of worship whether we ask for that or not.
One may not have a special event of recitation for the new house, because it has not been reported to us that the best generation did that. However, one should always fill his house with recitation of the Qur’an.