The concept of the "center" of the universe is somewhat misleading. According to the current understanding of cosmology, the Big Bang did not occur at a specific point in space. Instead, the Big Bang is believed to have happened everywhere in the universe simultaneously. In other words, the universe itself, including all matter and energy, originated from a highly dense and hot state around 13.8 billion years ago.
As for our solar system and galaxy, they are part of the larger structure of the universe. Our solar system is located within the Milky Way galaxy, which is a barred spiral galaxy. The Milky Way itself is just one of billions of galaxies in the observable universe. However, it's important to note that our solar system is not located at any special or central position within the Milky Way or the universe as a whole.
Instead, we are situated in one of the spiral arms of the Milky Way, known as the Orion Arm or Local Spur. The exact location of our solar system within the galaxy is about 27,000 light-years away from the galactic center, which is home to a supermassive black hole called Sagittarius A*.
In summary, there is no defined center of the universe from which the Big Bang originated, and our solar system is situated within the Milky Way galaxy, but not in any central or special location within it.