Hi again
Well, since Vimeo provides his embed code as iframe, first you need to go to Plugins Manager > Editor - TinyMCE and remove "iframe" on Prohibited Elements.
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Them go to your vimeo video and if there the "share" option, click on it and you will see the embed code. Copy the script and them go to your custom module.
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On the custom module, change to "toggle editor" mode and paste the code.
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Before saving the module, return to normal editor by clicking again on "toogle editor" button.
Now save and check it on frontpage.
You will have to change video size to your needs.
Hope this helps