You want a taper crimp die. The Lee taper crimp dies are as good as any other.
I really like the crimp that the Lee FCD creates, but I find the dies to be even more use with the Lee bulge buster kit. I use a Lee 9mm Mak FCD with the bulge buster for 9x19 and 9x21.
If you don't pick up used 9mm Major or "Glocked" .40 brass at the range, you will be fine with the std. taper crimp die.
The only real negative I have with the Lee FCD is that it will swage down over-sized lead bullets (i.e. 0.357-0.358" lead bullets for 9mm).
The critical things is to use the proper expander plug for your bullets. Your case ID, after expansion and NOT the case mouth flare, needs to be 0.353-0.354" for 0.355" bullets. If less than that, the bullet will seat crooked and you will bulge the brass, at the base of bullet, as the bullet pushes out on the thinnest case wall area. The Lee FCD will "iron" this out so the round chambers, but it will not return that round to the accuracy it would have had if the case was properly expanded and the bullet had seated square.
For the price of the dies, you can easily buy both and try them out and compare and report back what you learn.