One idea I thought looked interesting was this...
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I would put a cart underneath the sifter, but it looks like it would be really easy to sift the compost with the frame hanging from above.
My old manual sifting setup was more like this...
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Instead of shaking the sifter, I would run the flat edge of a shovel across the wire or use a small board and run that over the wire, back and forth, and the compost would get sifted.
Another approach is something like this...
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If I did that method, I'd make it so I could have a garden cart under the sifted compost so I would not have to shovel it up off the ground again.