Although I thought both tests were pretty easy, I have to be in the minority here and say that for me, the TEAS was easier. But that's likely because of the difference in the English/Reading sections of the 2. It's my weaker area. My math score was higher than English on the NET, and it was like that for me with the SAT too, so I'd say that if you are significantly stronger in Math/Science, the TEAS might be easier than the NET for you too.
Also, I've taken a lot of advanced science and math courses, so that showed in my TEAS score. People who have only had the nursing prereqs are at a slight disadvantage IMO because I know that a lot of the material on there was not covered in mine, but I had learned it from other classes I took. There were still a few questions on the TEAS that i simply had never learned (science-wise).
Everybody is different, so perhaps, like me, Brittney found the TEAS easier. Just study a review book and you'll be fine!