Should I host or stream an 11Mb video background?

I created a video background for my website, and after compression, I got it down to 11Mb.

Would it be more optimal to host it on my server, or to upload it to YouTube and stream it? The website in question is #1 in the Google, and I don't want a big performance hit to hurt the SEO rank, so it's important I choose the right one.

This is for a photography website, so it's not going to be optimal if Google always heavily reduces the quality of the video.

Thank you.