Question: Do we know which direction we are moving away from the big bang?

Seeing the article from 2015 about not seeing recognizable signs of advanced scientific cultures away from planet earth, brought the following questions to mind.

Do we know where the Big Bang happened and which direction we are traveling from it?

Would it be more likely to see advanced cultures further from the center, or in Galaxies with older stars than ours? I'm sure people are looking in various directions for various things, but what is the prevailing belief about where we are more likely to discover other intelligent life?