Originally Posted by supermasterphil

No matter who you are flying with, bags can be checked through, just show the PNR of the second flight at check-in!

I would allow two hours in Munich for connections if on two PNRs but it is still your risk. If the price is the same, stick to LH since your arriving and departing flight would be out of the same terminal and a connection can theoretically be done in 15 minutes. It is about a half hour schlepp over to your KL flight plus security, etc.