For what you want to do, I think Wayne gave the correct answer. Paste and Match Style will paste the data into existing rows in the destination table while maintaining the formatting of the cells in the destination table. But it matters what you have selected before you do it.
If you click on a row number to select a single row, when you Paste & Match style (or just Paste) it will only paste only the first row. If there are an insufficient number of columns in the destination table, it will not add new columns
If you select a range of row numbers to select multiple rows, it will paste into the selected rows. If you selected too many rows, it will start repeating. If there are insufficient columns in the destination table, it will not add new columns
If you select a single cell in the first column of the top destination row, it will paste everything, however many rows you copied. If there are not enough rows in the table rows, it will add more to the bottom. If there are not enough columns, it will add new columns. Everything will be pasted.
The last one is the best way. Note that all of these assume you will be pasting into empty rows, though the last one will add new rows to the bottom of a table if necessary