Youtube embedded player can be adjusted a lot using the parameters available here https://developers.google.com/youtube/player_parameters. Some parameters are available on both HTML5 and flash players and some are not.

Check out https://developers.google.com/youtube/youtube_player_demo, for all availabel configuration and play with it.

For example you can hide the controllers in embedded video, by setting parameter controls to 0

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<iframe
src="http://www.youtube.com/embed/p09QlQQazo0?controls=0"
width="640" height="360">
</iframe>


Default video quality can be set using vq.
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<iframe src="http://www.youtube.com/embed/p09QlQQazo0?vq=hd720" style="border: 5px solid #cccccc; overflow: hidden;" width="640" height="360" frameborder="0"
allowfullscreen></iframe>


Youtube allows you to have its logo to be modest, by setting modestbranding to 1.
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<iframe src="http://www.youtube.com/embed/p09QlQQazo0?modestbranding=1" width="640" height="360" frameborder="0" allowfullscreen></iframe>


We can also set all of these values together
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<iframe src="http://www.youtube.com/embed/p09QlQQazo0?rel=0&amp;autoplay=0&amp;showinfo=0&amp;modestbranding=1&amp;controls=0&amp;vq=hd720"
style="border: 5px solid #cccccc; overflow: hidden;" width="640" height="360"
frameborder="0" allowfullscreen></iframe>