I don't think you need to be embarrassed about it, and I get the sense that avoiding smartphones (or at least, being able to not become welded to them) is at a higher rate among techies than in their peers in the population at large these days. (Note: "peers" in this case means people of similar age, say 20-50, and similar socioeconomic position.) I think it's a combination of dealing with tech tools all day at work (and needing time off) and understanding the risks to security and privacy.
I still don't have a smartphone. I'm thinking I might get one the next time my contract's up, but I'm very much thinking I won't hook my email up to it....