Learn Danish: Han flytter pallen om morgenen. - He moves the pallet in the morning.

In Danish, the preposition om combined with the definite form of a time of day (like morgenen) expresses a general, habitual, or recurring time. It means "in the morning" or "in the mornings". If you were talking about a specific past morning like "this morning", you would use i morges instead.

Does the verb flytter mean moving a physical object, or does it mean moving to a new house?

It can mean both. Because it is followed by a direct object in this sentence (pallen), it simply means moving a physical item from one place to another. If the verb were used without an object (for example, han flytter om morgenen), it would imply that he is moving his residence.

Since we are learning about -vis endings, how would I use one to say he moves things "pallet by pallet"?

You can attach the suffix -vis to a noun to describe the quantity or manner of an action. Instead of moving one specific pallet (pallen), you could change the sentence to Han flytter varer pallevis, which translates to "He moves goods by the pallet" or "pallet by pallet".