Four points:
1. From the time of nucleosynthesis, we are looking at an expansion factor of at most a billion. So, yes, while smaller it is hardly small on a human scale.
2. An inflationary time period may have produced a similar factor, but the data on this is sketchy and it should be considered to be speculation (although supported by a lot of actual, testable physics).
3. When you say 'started from nothing', exactly what do you mean? Once again, there was not point in time when there was 'nothing'. This is for the obvious reason that time is *something*. but, in more detail, there was no point in time when there was no matter, energy, or natural laws. And no, natural laws don't require a 'law maker': how can a 'law maker' make anything without natural laws?
4. The Big Bang is a description of the expansion *after* things got started. While there is some speculation about *how* things got started, there isn't data to allow for distinguishing the different hypotheses.