Monitors usually come with a manufacturers 3 year swap out warranty these days.
You just need to register it, sending proof of date of purchase (the receipt usually).
Oh yes, they arrange collection and delivery. It does mean you need to keep your box, or have adequate packing available - because they won't leave the replacement without being able to take the original.
Swaps are usually refurbished items, so you could get a 2 year old model for your 2 month old one. But if the model is a new one, they can't do that, obviously.