Animation creation of building - problem.

Hi, I would like to do creation animation of a building from the ground up in a blender.
I have done this in a blender model lighthouse:
Animation would consist in the fact that this building was built by the foundation to the roof, as if to show the accelerated pace of construction.
Something like:
I used the modifier build but there are not effects of the Items. Animation then combine this plan with a video in adobe after effects but I totally do not know how to get to do it in a blender.
I look forward to some good, useful tips and links. I know that this is not an easy thing but it is among you anyone who knows what I mean, and how can I get to do the animation.
Thank you in advance and I live with hope that someone will help me.

Kamil from Poland