Thank you for posting your question here, I will try to answer it to the best of my abilities.
The term you are looking for is called phlebectomy. It is a procedure in which cuts are made above the bad veins, or as near them as possible. From these cuts the bad veins are removed. Local anesthesia
is used for the procedure so your husband wont feel any pain.
It is a relatively minor procedure and can be carried out at a hospital or an out patient department.
Complications from his procedure are very rare, so I recommend you get it done.
I hope this answered your question.