Guess some of the procedures described here are company procedures.
If it is a LNAV/VNAV RNP (BARO VNAV) it must be flown in VNAV and for the 737NG VOR update must be switched off and vertical RNP must be changed from 400' to 125'.
That is the procedure we use for RNP AR approaches, but for normal LNAV/VNAV RNAV procedures we simply press APProach and go, there is no need for any other switching. On the bus we use a fully managed approach for normal RNAV LNAV/VNAV approaches, however in my opinion the implementation of "fully managed" is better on the boeing than on the bus.
LNAV minima will be higher than LNAV/VNAV minima
Again, that depends. Especially to which temperature that LNAV/VNAV minimum can be used. If too low a temperature is chosen the minimum can be substantially higher than the bare LNAV minimum.