Very early start for a Sunday

Last night I received a SMS from Lufthansa. My flight to Frankfurt was cancelled. Ahhhh!
Only option is to take the earlier flight. In other word the 6am flight on a Sunday.
So here I am, it's 5:30am, I'm at the gate and had to observe the following. This flight is the first one out of Brussels today.
The second one goes to Amsterdam at 6:05am and that's the one I'll be taking on Thursday.
Clearly I need to better schedule my flights so I can at least be in the airport when shops are open.