Ubuntu is probably the most popular of the Linux distributions, but there's a few things you should consider:
#1 Canonical reroutes searches performed to their servers and ultimately to amazon / other 3rd parties (meaning the phrases you type are stored, although no different as using Google, as they too store search phrases). This is
not done for "conspiratorial" reasons, but for providing you advertisements and revenue for Canonical ~ which is in my opinion far more distasteful
#2 Canonical has implemented Unity which for a lot of traditional interface users, has reportedly been alienating (I have not used it myself).
It appears you can finally disable the Amazon spyware in unity on the latest release:
http://www.howtogeek.com/126995/how-to- ... nity-dash/(I am not sure if that also applies if you're not using Unity)
There are forks of Ubuntu that others have released which deliberately removes the Amazon spyware, just in case someone wants to use Ubuntu and doesn't want the spyware.