I have many, many videos hosted on Mediafire.
They're almost all copyright stuff owned by other producers. Yes, I'm that guy, sorry, producers.

But I've shared my stuff with many people before through Mediafire. I have never had any issues even now after having stuff hosted there for 2 years now.

Everything you upload on mediafire can be privated, and even generate 1 time link to privated stuff for other people.
Or just make it public for a few days after sharing, then close it. If anyone asks for it again, just give him a private link, or something.
Don't worry about the stuff being public, I have not gotten past a few random downloads for all I know on stuff that I only link to 1 or 2 people.
I've even shared links from Gurochan authors here before, and they're still up.

It's pretty easy to use and the upload speed and upload size available is decent even without premium memberships.