Do you believe God created the Universe billions of years ago or approx. 6,000 years ago and why?
Also, is there any credible, scientific evidence for a young earth?
I don't find the 6000 year time schema to be Biblical. It has a lot of Scriptural hermeneutical issues. It's become a convenient schema of modern dispensationalism; as that eschatological schema believes the 1000 year reign is still to happen.
If one were to take the genealogies in the Bible and line them up end to end; except in the places where the Bible is pretty specific that person B was stated to be the direct son of person A; you'd get an earth that's a little over 13,000 years old by our current time. 13,034 years old at this point.
Now as far as the construction of the cosmos and how space was set up; (are these other star constellations we call galaxies really millions of light years away)? We can't really say because we are making assumptions about some means of constancy in physics or space, that may not be true; or may not have been true though the course of time. (I.E. we don't have a means of accurately measuring how far away those galaxies really are. We are making assumptions based on our current understanding of the speed of light. And our current understanding of the speed of light is only based on theory.)
Is there "scientific evidence" of a "young earth"? To answer that question, you'd first have to define specifically what you'd call "scientific evidence". Are we talking about things that can only be replicated and observed or are we talking about adding theories into that "evidence". (A theory by definition is not evidence.)
Is there evidence that things on the surface of this planet can change very quickly? Yes there is. Look at the landscape of the north west prior and than after Mt Saint Helen's erupted. This is only in 40 years and Mt. Saint Helen's certainly aint the largest volcano that has ever erupted. Its eruption created a landslide, which drastically changed the local landscape. And now (I think it's Turtle River Pass) looks like a miniature version of the Grand Canyon. Evidence that it doesn't take millions of years to carve out a canyon. The Grand Canyon was not made by millions of years of erosion. It was made by combination volcanic and seismic activity. (As well as lots of water = Noah's flood.)
Water can potentially be an incredibly destructive force. Take a look at the tsunami that hit South East Asia about 15 or so years ago. There were islands that it literally washed everything off the island.
Striking Images of Mount St. Helens Before, After and Now
Also, there are some interesting ancient sea mariner's maps. They speak of Jupiter and Saturn having been flung out of their usual orbits by the entrance of a comet that thus got caught in the gravitation field of our sun, which they named the comet "Venus". Did "Venus" collide with a planet that once existed between Mars and Jupiter and thus we have "the asteroid belt". That is a theory.
There are a lot of other theories and historical information out there that don't get published into "scientific journals" because they don't support the "evolutionary billions of years old" narrative.
Now there are plenty of things we do know in fields of biology and sciences that are heavy in the application of mathematics, that much more support the ideas of intelligent design over random chaotic happenstance. Via mathematical probability; the chance of one ameba coming into existence in 4 billion years is pretty much nil. None to say an ecosystem with the variety of life that is as complex as this planet is.
So no, we (as life forms) didn't get here by a "big bang" and billions of years is not required to account for what we see today.
Now if you wanted to talk about "big bang"; God's initial creation of matter out of nothing could qualify.