Automatic Search/Copy/Paste Between Sheets, How?

I would like Excel to do the following and have no idea how to write the instructions. The function is as follows:

From a general information sheet (sheet #1), XCEL looks at a cell to determine if that cell holds "A" or "B" (will be a word, and choice will be previously fixed by a dropdown menu). It then looks at another cell in the same row to determine if it equals 0 or 1.
If the cell holds A, and the other cell holds 0, XCEL copies the row from the general information sheet onto sheet #2 of the same workbook.

If the cell holds B and the other cell holds 0, XCEL copies the row from the general information sheet onto sheet #3 of the same workbook.

After XCEL has copied a row, it inputs a 1 in a final cell of that row so it will not copy that row again.

On sheet #2 and sheet #3, XCEL begins (and copies to) the first open row in column A (by moving there after performing its last copy function or by checking column A until it finds a cell = 0), so that each new copy function begins in an open row.