So ive been using a CRT forever now and going to be getting an Xbox One so I'm gonna need either an HDTV or a Monitor. Ive ben avoiding HDTV's for a while now since every single one ive come across always had really bad HD lag. What should i be looking out for in the specifications if i want an HDTV or Monitor that has the least possible HD lag. Also which would be the better choice, the monitor or tv and why. I am not really looking to spend more than $300.

@Tokeism: but then how come whenever I look up the best tv's for gaming most of their response times are 20+

So here is my confusion. Most computer monitors average between 2-8 ms response time whereas most hdtv's are in the high double digits. Yet I always hear people say that as long as a monitor is 8 ms or less there wont be hd lag but when talking about HDTV's as long as its 30 ms or less there wont be hd lag. How does that makes sense? If under 30 is good for tv's why does a monitor need to be under 8? Can someone explain this to me as I am looking to buy either a monitor or TV for gaming and wanna be properly informed.