But what exactly is convenient about hiring an IT staff to run servers out of your own home? This is an elaborate scheme and we deserve to know the motives and reasoning behind it,
It's worth nothing that she had a server in her home during her 2008 presidential campaign (which in turn was an extension of a server Bill used prior to that), and by all accounts her later State servers were just an extension of that. From her perspective she was just doing the same thing she'd always done.
Source.
It's not like "Gee, normally Secretaries of State have a .gov account, but I'm going to go out of my way to set up this totally new thing."
It was more like "The last SoS had no e-mail address and her aides used personal e-mail domains, and the SoS before that used a personal e-mail domain himself, so I'll use my personal e-mail domain also, which just happens to be hosted at my house." Most likely, at the very beginning it really was just a matter of convenience and familiarity.