Those common UNI-T probes (as shown on the above video) are actually not bad at all (once fixed with sanding^)
I have a pair of em myself, and they work perfectly for continuity.
Buying a new item to resolve an issue with the current is not always the best option.
In case of crap probes & continuity, some light sanding and it'd be just as good as those $20-30 probes.
OK I guess I'll bite ...
What are we sanding off the "crappy" probes? They look bright and clean. Has anyone looked at them under a microscope?
What is the bad layer that is being removed by sanding?
I'm thinking I should do a video on this myself. What I've observed is this: with any probes other than my ProbeMaster ones, the measured resistance of the probe tips themselves varies significantly depending on the pressure applied, and whether they're touching in the little grippy ridge or not. (As measured by touching the probe tips to each other.) The ProbeMasters, on the other hand, show almost no variability in resistance with pressure applied. I'm not a chemist, but I assume there's an oxide layer on the chrome plating whose resistance is higher than that of the gold plating of the ProbeMasters. This might explain why sanding and cleaning helps for some people.
When used with a non-latching continuity tester (in my case, a cheapie 830L and an okay Mastech), this resistance variability manifests as scratchiness. On good latching meters (in my case, a Fluke 87V and a Keithley 2015), it manifests as taking longer to register and beep. Don't get me wrong, the 87V and 2015 are extremely fast even with bad probes. But with the ProbeMasters, they're even better. The ProbeMasters produce a rock-steady tone on the non-latching meters.
And mind you, the other probes I'm comparing to aren't crappy ones, they're Fluke (i.e. Pomona) and Oldaker. (The Mastech probes actually don't fare any worse than these, to be honest.) But the ProbeMasters beat them all handily. (I've got the Probemaster 8017S standard probes and the 8150 fine probes that come with both fixed and spring-loaded tips. The latter have become my daily-use probes.)