Cheap Chinese tap and die sets give me the chills. If there is anything you want better quality it is taps and dies. But quality ones are expensive. It can be a good strategy to get a relatively cheap generic set and then replace the specific ones you use over time with higher quality ones on individual order from machine tool suppliers. Also, I strongly recommend getting better tap and die handles, sockets, and guides and have the right size cobalt drills to make sure you get clean, and correctly sized holes to tap. The set can make sure you have something for one off jobs, and if you use a size a few times, replace it with better.
Also, something important: To chase threads you should use special thread restorer tap and dies, NOT taps and dies designed to cut threads. And certainly not cheap tap and dies ... which might compound problems. Thread restoring tap and dies are designed to clean out and reform the threads without taking off much material. That is often what you want for damaged or corroded threads. You can purchase good USA thread chaser sets for relatively cheap. These will also be sufficient for a lot of clean up work that people often (mis)use taps and dies for. Clean up work, for most, also comes up more frequently than the need to cut new threads.
I would add that I have an older USA-made Craftsman tap and die set with a large numbers of taps and dies that I use. These are not HSS or cobalt, but are reasonably good quality and not very brittle. They work fairly well for a lot. Just make sure that you keep them stored well with a protective oil film: you do not want taps and dies to corrode or they will be ruined (outside of difficult restores and resharpening). The older tap and die handles in such sets are ok, but I have some better Starret handles, General Tools ratcheting tap handles, and Lislie tap sockets that all work better and make the process easier. Plus I have a full set of cobalt drill bits (fractional, wire, letter, and metric) that pretty much covers all needs and I resist the temptation to use these drill bits for daily use projects. So they stay in good shape for when needed. Having some left handed Cobalt bits to help remove broken bolts can also be very valuable. But the main thing is to go slow and be careful when cutting new threads. Things can go bad quickly with small taps and you really do not want to break off brittle taps. Such problems can be nightmarish.