Technically, anything can clean the jets as long as it fits. I myself bought a carb jet cleaner with the honda name on it. It has a variety of sizes for different jets. The primary key is not going all roto router on the jets and damaging the venturi inside the jet.
It is easiest to pull the jets out when cleaning them. Just wrap the jet in a bit of cloth or rubber(helps with grip), grab with pliers and twist while pulling. I do not recommend wiggling the jet as that could crack the housing for the jet.
As part of this, turn in the idle mix screws while counting how many turns it took for each screw. Lightly seat them and then pull them out with their associated washers, orings, and springs. These passages need cleaning too. Remove the accel pump too and make sure both ears in the diaphragm are clear and the passages too.
When I talk of cleaning carbs, I mean clean enough that you would drink from them.
The ride IS the adventure. The destination is just to get gas!