Do reamers and drills for machining centers use one hilt?
Yes, but it depends on the accuracy of the machined holes.
You can use a handle, but the chucks may not be the same. The reamer uses a milling chuck.
One hilt is fine, of course. For example, using ER20 is fine, and the accuracy is fine!
Some bits are Morse taper shank milling cutter, reamer with straight shank, therefore, may not be the same, chuck..