Start with a Pi3B. Once you have your software working the way you want it to, then you can try switching to a Pi0 or Pi0W, If the Pi0 solution turns out to work, you'll still have the Pi3B to do more on this project, or do other projects with and if the Pi0 doesn't work, you're only out an extra $5 or $10. I should note that there are other Pi models that might be suitable if cost. size, or power consumption is an issue, such as the B+, A+, or the coming along one of these times Pi3A.
General advice as regards picking a Pi when starting out...if you're not sure what to use, go for the current top of the line (Pi3B at the moment) unless you have specific, known requirements that would dictate another model.