A nest mini is the Google equivilent of an Echo Dot. It's pretty much the same thing as a full-blown Google Home speaker, but with a smaller footprint, lights that aren't color, and a much smaller speaker. Other than that, it's just their take on th Dot. Same price, too.
I want to like Alexa though given she can do tons more through skills, but I had to shut the two Shows off again since this was the third time in a row she woke up in my living room uncommanded (I was asleep) shouting oddly enough "You want to help me learn?" "Sorry, I didn't get that"
What on earth was she responding to? The time before that she started randomly playing music and no one is in the house but me and my pet rabbit. I don't think rabbits talk, but maybe he suddenly gained intelligence? Who knows?
Occasionally, my Google Homes will do the activate noise trigger, but go immediately off without responding. I assume they're listening to improve noise cancellation/improving voice recognition by occasionally listening for ambient noise. Alexa on the other hand creeps me out!