I assume you mean 7' diameter, 1' deep? That's only about 275 gallons -- there's not really any pump made for such a small pool. You probably would be better off just using spa chemicals and doses, and draining and refilling every 3 - 5 days.
Or, you could take the money you were planning to spend on the pump and filter, and buy a $350 Intex 15' pool, that comes with a little pump and filter.
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