A chisel is used in so many ways for many facets of furniture making. I think a set of chisels is the most important hand tool purchase a woodworker can make, whatever the blend of hand and power tools.  

Given all we have learned about the steel chisels are made from, what are the best brands of chisels, considering only the steel used, and why?  Because this information is for someone buying their first set the recommendation needs to be readily available and affordable.  I regard the LV PMV11 chisels at the upper limit of affordable. 

In an email David chose Ashley-Iles.  The steel is hard, yet tough, which leads to good edge retention and no unusual issues sharpening.  These chisels are readily available and moderately priced. 

Just considering the steel I would suggest Narex, but without modification the blades and handle are more suitable to carpentry than making a drawer.  Narex makes a more expensive line that could be more suited to furniture making, but I have not seen one in person.