The condition you describe is because of worn out teeth. The treatment suggested is called Full Mouth Rehabilitation. The specialist for this treatment is a Prosthodontist - We specialise in crowning of the teeth. I will also suggest that you first identify the reason why your teeth have been ground and get that also treated. Also after your treatment use a night guard as you most likely are grinding your teeth at night.

As you are describing your problem , it seems your bite has collapsed. In such a case , as suggested by your dentist , you may have to undergo root canal of a few teeth and may be capping of a few of them or in severe case all of them. The best decision can be taken by the examining dentist. You can go to an endodontist or prosthodontist but even a general dentist with a decent experience should be able to handle your case.