A good set of "electronics" type test probes seem to be what you want. Electrician sets in general have large more blunt test probes and larger accessories. They can be less than ideal for electronics depending upon the set.
Now I have no idea what the brand you referenced is like. I've used Ponoma, Fluke and others. It is well worth the investment to buy high quality leads even for a cheap meter. In the end you will find that your need for leads will expand as you get more instruments and need different functionality. If you can add to your set as needed with compatible hardware you are golden. (if you are wondering I've had issues with mixing shrouded banana plug components from different manufactures) This compatibility issue shouldn't happen but I've experienced it.
Also you have to consider if you want unitized test leads or the more modular sets. The modular sets being ones you can plug in to the cord ends various probes, grabbers and etc. By Unitized I mean lead assemblies you can't disassemble and have to replace entirely if you want a different end. I like the modular approach but they are not often the best choice.
By the way if you are only doing low voltage you don't have to use shrouded leads. Stackable test leads & jumpers, are extremely useful when you need a meter connected to other instruments and can be very valuable for low voltage work. Shrouded can be well worth it though and if you do any high voltage at all give you a significant improvement in safety. If you do high voltage work, make sure the leads are properly rated for what you are doing.
Another thing to consider is test lead length. Frankly there are many places where shorter is better, long leads can just get in the way on a bench.
Frankly I'd get on Probemaster or Ponomas web sites and get a feel for what suits you. There isn't a perfect solution here, a time will come when you will wish you had a specific grabber that you saw in one of those catalogs.