Hi hi. It's all a matter of personal preference basically. ESO was my first MMO. I think it's systems will work better on console than Neverwinter, as ESO was always designed with console in mind.
For example, the ESO UI is minimal, there's no random numbers appearing on screen for damage etc, and there's only 5 skills (which maps to XB1 controller perfectly). In Neverwinter there's so many skills you have to do things like hold down a bumper and press right D pad to do a basic combat move.
The biggest first negatives I noticed in ESO, for me, was that bow aim to complete auto aim - you barely even need to look in the same direction as enemies - and that totally took me out of the game at first. And the quality of animation of NPCs does not match that of Skyrim (or Oblivion). But these qualities are common across all MMOs, it's the trade off for the game type.
I think Neverwinter benefits from having much more variety in races and classes than ESO.
ESO benefits from, frankly, Elder Scrolls. The minute you finish the tutorial you can sneak around pick pocketing people and breaking into their houses while they work. You can run out into the mountains of Morrowind or into the jungles of the Khajiits. You can journey to the home of the Wood Elves and visit the headquarters of the racist power hungry Thalmor. You can go to Cyrodiil and play with hundreds of people battling over one fort (as I write this I just wrapped up a fort battle that involved thousands and went on for FOUR HOURS). It's set 800 years before Skyrim, and those forts are the destroyed ones you ultimately see in Oblivion.
In other words, I think ESO is great when it works, and it's a shame the gaming community hates it.
I think Neverwinter is worth a casual play, as it will introduce you to MMO concepts. I actually wish I had played it before ESO, as it would have made ESO seem more magical in systems. First person view alone is a leap forward, let alone the fucking huge game world etc.