Well my plans for the Multimeter are "household" applications i.e. being able to measure 0 to 50V with the 2^16 Steps that a 16Bit ADC can get you.
I don´t know exactly how other DMM´s are constructed but my plan is to have a Input Amp which gives me a 0 to +5V signal (an a polarization signal) for the ADC.
The ADC could then be either a 16bit or something else, depending how accurat i could get the entire ensemble to work.
The Current measurement is planned to be done using a up to 500mV Drop (which compared to the other multimeters I have access to is quite fine) and a .5, 5 or 50 Ohm shunt.
Comparing it to the Multimeter I´m using at work which gets up to 2,5V drop in the 500mA range, i find this pretty harmless.
This is then amplified to the desired 0 to 5V for the ADC via the "depolarizer".
Resistance is measured via a controlled current source (have to work on that one).
The entire device isn´t meant for speed or accuracy, its meant to be functional.
(You didn't specify handheld or Bench DMM)
I am planning for it to be a stationary i.e. bench DMM