Hire it installed.
I burn a wood stove in a tent what amounts to a couple of months a year, with nothing but a stove jack between readily meltable tent fabric and the hot pipe, and I have never killed myself. Done correctly following fairly easy to understand rules it is completely safe. I can't imagine any reason why that wouldn't hold for a mobile home.
But since you are asking whether it is safe, hire it installed.
Definitely going to have it professionally installed. I am no plumber, stove worker, or whatever you need to be to install something like this.