super search will find existing discussions on this topic, including Pi Zero. You likely want to use the v3 Pi, since it's more powerful than any of the others. An appropriate web search will find you a great deal of benchmarks of the various Pi devices, and comparisons to other single board computers which are on the market.

You can tweak the stock Debian fork for better performance (referenced in the link above) Currently Raspbian only has 32 bit builds. Other OS are available.

Given the number of competitors available it'd be wise to consider them.