If your hand slipped because you moved your head to look at the lcd display, there are some multimeters that will freeze a stable reading and then beep. Fluke calls this touch or autohold. Others have similar capabilities.
Turning to look at the LCD is usually when I slip a probe. I started using the auto-hold feature more and more as pin pitches got smaller and smaller.
I saw a cool probe holder that a guy was using at a show once, it was a table top unit, an adjustable pc board hold-down and two or more X-Y pen plotter like things that could hold multiple probes vertically on the board underneath. The x-y probe holders were moved manually and placed where needed.
EDIT: +1 for Probe Master probes. I have Probe Master probes. These are the sharpest tips I have ever seen on a probe.