Doctorpsych pointed out some good distinctions, most of which are academic and theoretical, few of which will impact your clinical opportunities. Most counseling programs start clinical training earlier than clinical promgrams. This is the best comparative article I've found that contains actual facts and data:
http://www.psichi.org/pubs/articles/article_73.asp
Also, I would suggest you search past threads for clincial vs. counseling or something of that nature. I started multiple threads on this topic earlier this year and there was some informed dialogue at the time. Although there was some uninformed dialogue so make sure you take it with a grain of salt and realize many in the clinical camp become very defensive when you suggest counseling and clinical are more or less same disciplines with nuanced differences. One important thing to know is that counseling psychologistis and clinical psycholigists are eligible for the same license in every state.
For me, I applied to both clinical and counseling programs, had a masters in counseling already, am 31 and married, having children soon. I was accepted to both clinical and counseling programs in NYC area and chose a counseling one based on the culture/tone of the program, the flexibility, and the relative maturity of the students and professors. The clinical programs I interviewed at were much more structured and offered significantly less flexibility in terms of accounting for my previous academic, clinical, and professional experiences. (Ie, everyone starts at the same starting line regardless of what you're bringing to the table...vs my counseling program I am getting a signfiicant amount of credit for my masters classes and masters practicum at Bellevue Hospital.)
Good luck!
PS - I agree with Terrybug's approach...if you know where you want to live (as I did), I would apply to both counseling and clinical programs in that area and that make any decisions based on how the application process proceeds, your interviews, where you are accepted, etc. Don't rule out one or the other group of programs at this stage, since the programs are so competitive...