I have had Tivo for 3 years an 80 hour box and a 40 hour box.

I just got the DVR last week, but for the most part it is better so far.
Advantages -
It has two tuners so you can watch or record two programs at once( this rocks)
No missed channel changes.
faster channel changeing..
Cheaper no equipment cost and it is $9.95 a month.
You can use it without the remote.
Compatible with comcast digitel cable also has HDTV

No skip function
No wish list
Menu is weak not as easy as Tivo and has less functions.

So far I like the DVR a little better.