Assuming you're working with high-def video, you'll need to create a custom MOV preset in version 13.
Go to Publish & Share/Computer/ MOV. Select one of the existing presets and then click the Advanced button.
In the advanced workspace, set your output up to 1280x720 (or 1920x1080) at 25 fps and use the H.264 codec. When you click OK, you'll be prompted to name your new preset. It will then be available for you as a permanent preset under the MOV category of outputs.
clicked publish and share , see computer and list of files (mpeg, avcd, xavc etc but no MOV. can I select any one ?
Not if you want an MOV file.
You definitely should have a listing for Quicktime there.