The OP said he likes a late departure and „later arrival“. Then LH via MUC is the way to go: great airport for transfers, no security check as in LHR, nice LH lounges in the satellite terminal and incredible frequency of flights to TXL in the evening if something goes wrong with the inbound LAX-MUC.

TXL is a great airport for arrivals but terrible for departures during rush hour, which is to be avoided.