Almost all of them said that a distance degree would not be as well accepted in my chosen career path as a traditional degree. You should also check with other students enrolled in the program. A good source for checking out a specific program is the alt.distance.education newsgroup. I don't recommend that you subscribe to the group because it's dominated by a few people who spend most of their time sniping at one another rather than discussing distance education. Once you find a relevant message, expand the thread and read everything people had to say about the program in which you're interested.
Many programs have a residency requirement.
Many of these requirements are as short as a week or two a year. Be sure you know about any residency requirements and can fulfill them before signing up. If you intend to pursue your degree totally through the Internet, make sure all the courses required are offered in that format. Also, make sure that the courses are offered at times that fit your schedule. I see advantages to both ways of teaching and taking classes and like being able to mix the two.