Can't find a Copy & Paste

With a single schematic symbol you can hover and use [Ctrl +C] and [Ctrl + V].

If you’re feeling adventurous you can use a completely hierarchical design.
That is: You have a main sheet, and one sheet of your sub circuit, which gets included in the main sheet 4 times.

Just to verify if it works I drew a sheet with two “amplifier” sheets.

On the “Amplifier” sheet I drew a simple opamp circuit:

After that, I did the annotation in the main sheet and selected:
(*) First free after sheet number X 100
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The Opamp in the left sheet now has RefDes U201, while in the right sheet it is U301.

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I also zipped the project and attached here for the curious:
Hierarchical_Multi_Sheet_2020-03-17.zip (4.2 KB)

Edit: I tinkered a bit more. Filled in the Footprint fields via the “Edit Symbol Fields” spreadsheet, then hit [F8] to put all the Footprints int Pcbnew, and as you can see, both U201 and U301 are present.

Zip of updated project:
Hierarchical_Multi_Sheet_2020-03-17T12:44.zip (15.3 KB)