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Marty is right in that there is no observable point you can allocate as the origin of the Big Bang. At the Big Bang, space inflated almost instantly to an enormous size, dispersing energy (particles) that later formed galaxies and stars.
When you look in any direction you can see galaxies that were formed billions of years ago. In other words, the "origin" of the Big Bang is everywhere.
There is no centre of the universe. But in every direction, galaxies are receding from us due to the initial momentum of the Big Bang and due to the continued expansion of space. In a sense, the Earth is the centre of our observable universe with everything on the large scale moving away from us.
There is a point at which galaxies moving away from us faster than the speed of light will disappear from view. The light from theses galaxies will no longer reach us. This is called the Cosmic Event Horizon. A signal from an event happening now at more than 16 billion light years away will never reach us.
Our observable universe is only a small part of what we can see of the whole universe.
The age of the universe is about 13.75 billion years. The radius of the observable universe is estimated to be about 46.5 billion light years.
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