There is method to our madness
Glad to hear your husband is enjoying the switch to DE shaving so far.
The key items he will need are as follows:
DE razor. The Merkur 34c is often recommended as a old starter razor. The Muhle R89 is another good choice. The Muhle looks better but both shave equally well and are forgiving enough when learning.
Blades: Pick a sampler pack. Different people with different skin and stubble find different blades work best for them. The Personna or Astra blades are a good starting point.
Brush: Two main types available, badger or boar hair. Boar tends to be cheaper. Best bet would be to spend around 20 on a brush and then let him invest in another if he feels it worthwhile later.
Shaving cream or soap: Both have the same function and replace the canned foams and gel. They offer better lubrication and protection. Proraso is a old starting point. Creams tend to be easier to lather when staring out.
Styptic pencil: Dampen the end and apply to any nicks or cuts you're bound to have when starting. Much more effective tha sticking bits of tissue to your face.
The starter kit you linked covers most of the above.