Fluke is famous for its safety. I don't think you need 1000 V CAT III / IV for 19.5V laptop repair. I don't think accuracy is an issue also (e.g. ATX voltage tolerance is 5-10%). I would suppose any dmm would work, but some features would be nice to have: peak hold (probing tiny legs could draw attention away from display), responsive continuity, jack alert, temperature (dedicated thermometer will also work).
There are other ways to spend money: variable power supply with current limit, LCR, IR rework station, programmer, scope, ..
Hint: you could use thermal paper (ticket or fax) to find short circuit SMD component (poor man's thermal imaging).