This is still available right now, but might not last all day. If they don't sell out, it'll be there until midnight CDT.
This is similar to the TiVo I have at home, though it starts with a bigger hard drive than I had at first. On a 120 GB hard drive, you can in theory record up to about 120 hours of "basic" quality shows, or probably 30-40 hours in "best" quality. Definitely adequate for the average user! You can then burn your shows onto blank DVD media whenever you wish.
Very few models still offer free TiVo Basic service. It leaves out some TiVo features, but is a good way to get started if you're not sure you're interested in paying the monthly fee for the service.