The phrase Digital Volt-Ohm Meter (DVOM) doesn't really refer to anything. The two types of meters are Volt-Ohm Meter (VOM) and Digital MultiMeter (DMM). It is a mistake to use the phrase DVOM as it refers to both types, and therein lies a danger.
The reason you don't want to refer to a DVOM is because a VOM, which is an analog device with a meter movement, will definitely kill your car's digital management computer(s). Never use one on a modern automobile.
A DMM (where the readout is via the familiar multiple 7+ segment number display) is OK to use on your car and with automotive computers. The proper procedure is to disconnect the negative terminal of the battery and wait a certain amount of time ... hard to say if it's 10 minutes or 30, but if you sit down and drink a beer before picking up the meter, you are probably good to go.
And the way these devices are manufactured, the required chipset is inexpensive; the $10 DMM is a perfectly capable device used within it's voltage and current limits.
I have a number of DMMs ... one benchtop model costs $4500. I have a good portable handheld (FLUKE 87-V), two or three middling handheld DMMs (about $50 each) and a couple of dirt cheap units. Sometimes I use four or five at the same time, if I'm measuring a project I'm building. I used my 87-V just this afternoon, fixing my fancy electronically controlled stove. Saved me $200 in parts and who knows what for a service call.