Freelance consultant for webvideo, especially in journalism. For the past years I was head of video at one of Germany's major news websites. In 2014 I grew their video traffic by 1300%.
What is your goal with this video? Do you want it to live on your lauch page only? Or do you want it to get noticed in other places on the web as well? Do you want the video to get shared around social media, for example? Or embedded into other people's websites?
First ask yourself: Does my video even work without the context of my launch page?
If it does why not go with YouTube. If you set up your video correctly you'll be rewarded with a decent Google ranking as well as with lots of YouTube's search traffic. After all YouTube is the second largest search engine.
You'll also benefit from YouTube's related video algorithm which can bring in a decent amount of traffic.
And you can profit from YouTube's sharing functionalities. Over the years people have simply learned how to share a YouTube video. It's natural.