End of the month transactions

I don't understand why it's an issue? When reconciling your bank account, select the transactions that appear on the bank statement and you'll balance.

It doesn't matter, for the purposes of reconciling, if the dates of the transactions in QuickBooks match the bank's dates. In fact, they often won't, especially for checks. In QuickBooks, checks should have the dates that are on the face of the checks, not the dates they clear the bank.

They are transfers of funds from bank to paypal.  PayPal shows the date initiated but bank shows the transfer a few days later.  If I change the date of the transaction anywhere it changes everything and the books won't reconcile.

Yes, transfers can only have one date, like any other transaction in QuickBooks. A similar case is a check you write from one bank account and deposit into another.

I can't imagine what problem this causes (it has never been a problem for me and my QuickBooks file). As previously noted, the date of the transaction make no difference to reconcile.

Please elaborate. What is the issue you see that causes "and the books won't reconcile"?