I think the problem with using, for example, old soda bottles, is that 1) it is hard to get that soda taste out and 2) it can be hard to get the cap to seal after the first use.
How long to you plain on leaving them in plastic bottles. If you plain on leaving them in for short term oxidation shouldn't be a big danger. Its going to be hard to get the soda taste out of them. Plus i dont think you can get a true seal with the caps