I'll address the principal fallacy with your argument quickly though, rather than try to explain the process of evolution etc. Even if all modern science was wrong, and nobody had a clue how we got here, this wouldn't be a reason to believe in god because it is an argument from ignorance. In the absense of knowing you are not entitled to assume 'god must have done it', because that assertion needs proof. The only entitled statement about questions such as 'where did everything come from', without having any evidence, is 'I don't know'.
Luckily enough some people have been bothered to search for evidence and to construct theories around it, and the history of the universe according to those endeavours is as follows. [all of these statements are backed by rigorous research, which you can check in libraries or from other valid sources]
? Before the big bang whether the universe existed at all is unknown, but lots of people have ideas they'd like to prove.
-The big bang spewed out a soup of fundamental particles and energy.
-Over time the universe expanded and cooled, and atoms like hydrogen formed from the available matter and energy.
-Clouds of hydrogen gas collapsed under their own gravity into stars.
-Stars fused nuclei to create heavier elements, and released them into space when they died.
-These heavier elements condensed into clouds that collapsed under their own gravity into new stars and planets.
-One such star was the sun, orbited by several planets including a rocky planet we call earth.
-The surface of the earth contained elements like carbon and nitrogen, and with the energy of the sun spontaneous chemical reactions were performed and catalysed by the earth's minerals, to produce molecules that could self-replicate.
-A process of evolution begins, selecting the molecules best at self-replicating.
-This process continues for billions of years, making the first cells then multicellular organisms, then even more sophisticated creatures until we arrive to where we are now.