How to copy from source workbook and pasting at first empty row in destination workbook

I am copying anywhere from 15-25 rows from 8 separate workbooks that I am merging into one workbook. Right now I just copy/paste them far enough apart and then delete the empty rows, but there must be a better way. Snippet of my code is this so you can see what I mean when I say I just paste them far enough apart so they can't overlap.

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Ah, that does make sense now doesn't it! I am slowing learning the Rows.Count and xlUp. I can use it for copying, but pasting was a new one. Thanks!