Go for it, Cathy,
Even partial sun can work with herbs, so they might grow on the deck. And an east-facing window is fine.
I find that, for practical purposes, you want to go with a minimum of an 8" pot. This could crowd a window pretty badly. So you might want to consider a window box, instead, with a selection of kitchen herbs all growing together.
Meanwhile, out on the deck, find the spot that gets the most light. Then plant a selection of herbs in the various openings in a strawberry pot.
If you can't find started plants locally (always the best bet with herbs), check out Horizen Herbs' seed selection.
Good luck.
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