Why not explain the difference?
Evolution -- does it explain where the very first form of life came from? Not really. It does theorize if you have a number of chemicals in a liquid soup, water being a key ingredient, that electrical charges could produce amino acids, an important building block to life, but not life. There is no evidence that life evolved from inanimate molecules.
Does evolution give a theory on how we could have life on Earth without a creator? No. There is no theory on how something would evolve from nothing. Evolution does not in any way apply to the Big Bang theory, only to the theoretical possibility that once we have matter and energy that they could on their own and randomly create highly organized life with purpose and a mission.
What does the evidence say -- there is overwhelming fossil evidence that life becomes more complex, that simple structures appear in later, more complex structures, and theorizing that life evolved is a very reasonable theory. After this theory was made we discovered DNA which by its very nature is designed to "unzip" and "zip" back up. We have since learned that DNA can withstand low levels of radiation and that it is an ingenious design that was able to survive radiation and even random mutations are a realistic expectation. However, there are some intriguing problems in the fossil record, most notably "lazarus taxa" which are creatures that we presume took millions of years to evolve, became extinct in the Permian extinction and then miraculously reappear in the fossil record a few million years later. This is something that has yet to be explained and anyone who is a proponent of evolution should be interested in solving this mystery. There are other unexplained mysteries which as yet only have theories and no evidence explaining them. For example, man's brain is a very expensive part of the anatomy using a tremendous amount of energy relative to any other mammal. Since the basic premise of evolution is "survival of the fittest" one has to wonder what benefit this expensive brain conferred. The reason our brain uses far more energy than a chimpanzee is because of our ability to read and write. Chimpanzees have a photographic memory, if they see fruit or food even a slight glance they can remember and find it. That is an obvious competitive advantage for a hunter gatherer. We lost our photographic memory in exchange for our ability with the written word, both writing and reading. So the question is, what kind of competitive advantage was it to not have the photographic memory but rather be able to read when there were no books, and to be able to write when there wasn't anyone who could read?