Since the Xbox One has Blu-Ray, it'll be the best of both worlds! :)
I own a 360 but I don't use it anymore.
The only thing they said is that Xbox Live will continue to be based around the subscription you have now. So, Xbox Live will still cost $50/year. What services require Xbox Live on the Xbox One is not announced yet but based on the 360 the answer is probably almost everything.
The 360 was the first console to offer Netflix and they had exclusivity for a while so they could do it. Once the exclusivity ended they didn't make it free because they felt no need to because lots of people continued to pay up.
http://www.techradar.com/news/gaming/consoles/bbc-we-d-still...