Mediation, Bootstrapping and Sample Size

I'm new to statistics overall, and even newer to mediation but I'm attempting to analyze data using Process for SPSS. Before anything else, do I need a specific minimum sample size and how do I determine this? Does bootstrapping take care of this, and then, how many bootstrapping samples do I need?


Less is more. Stay pure. Stay poor.
Do you want to describe the project in more detail so we can better understand what you are attempting to do.
I have 3 groups: dog owners, cat owners and hamster owners and I want to see if this is related to body image (a score on a scale), but I'd like to include hours spent walking the pet daily as a mediator. I want to know how many pet owners I'd need to sample to be able to do a mediation analysis. Or, can I use the bootstrapping option, and if so, how many samples do I bootstrap to.