At what age do they stop enjoying vegetables?
That completely depends on your baby. This might not happen at all. I must say BLW-ers are overall less picky than PLW-ers. My oldest still eats anything. He has certain things he doesn't like, for example mushrooms, but we all have that. he never went through a picky stage and is willing to try new things and things that he didn't like before, but he figures he might be old enough for it now.
DS2 is a bit pickier but he will also try anything. He eats most vegetables and fruits, just has a less adventurous mind. DS1 encourages him regularly though, "try it, you might be big enough now to like it"
Also NEVER EVER make a fight out of food. I am a firm believer that this will prevent many picky eaters. And never use dessert as a reward. If you have dessert, it's part of the meal and they get it no matter what.
So Noah has two teeth now, and he's sailing through that. He eats anything and everything. I bought a steamer and I must say that is a lifesaver! LOVE it!