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Without actually applying the subdivision modifier, how can we cut a hole through the subdivided mesh? I tried using loop cuts but the topology turned out bad:
bed

Using the boolean modifier it had some artifacts and you also need to apply the modifier:
enter image description here

Further trying to fix them with loop cuts gave this strange edges:
enter image description here

and scaling them along the y axis to zero did no good. So How can we cut a hole through a subdivisioned mesh without actually applying the modifiers? I know disabling the boolean modifier would give a nice hole in the render but what if we have to do some editing with the part, like adding a drawer object(particularly in this case)?

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You can use the Inset tool. That way you can keep the topology as quads.

Select the faces where you need the cut, press I to activate the inset tool, and then by dragging the mouse you can determine the size of the hole.

After just extrude (E) and delete the faces as needed.

enter image description here

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