Hey Divermike,
Not so long ago (earlier this month actually) I was in almost the exact same position you're in - I was looking for a computer that would do multiple gasses and am planning on getting into much more technical diving, including adv nitrox/deco and trimix in the future. This is what I learned: Don't bother with the big fancy computer, even though it's really cool.
I was informed that most technical divers prefer to cut their own tables, back up tables, back up backup tables and use bottom timers rather than do "trust me" dives with a computer. When you do your training it will all be tables all the way.
A friend of mine dives a cochran (an ECM 16 I think) and seems pleased with it, I asked him for advice about the cochrans and he sent me a longish e-mail about them, which I can forward to you if you want, just pm me your e-mail. It seems to me that the major drawback of diving with a cochran is that you have to preprogram it to switch gasses at a certain time/depth and once underwater you can no longer operate the buttons, so if you should lose deco gas or some such thing during a dive your computer will be absolutely useless to you.
You'll also be needing a back up computer. If you dive deco using the computer then that means you need to back it up with another deco computer, or at least a bottom timer. My suggestion to you would be to purchase a cheaper computer now with air/nitrox modes for rec diving and also a gauge mode for deco diving. I'd back that up with an air only computer that also has a gauge mode. This way you'll have what you need for the training and if you decide that you want a computer that will calculate trimix etc. for you can pick one up when you're more educated in the matter and when technology has changed a bit.
Personally I've decided to go the route of getting a suunto vyper, it has nitrox and gauge modes and a big, easy to read display for incase i'm having issues that might make reading a small display tricky, like a leaky mask or really really crap viz. When i get to the training i may back it up with another suunto computer, depends on how much I like it.
Anyway, that's pretty much where I got on my quest for knowledge, if any of it seems insulting don't take it personally, i have no idea how much you know.
You may also want to check out thedecostop.com, the guys on there will have more to say about this matter.
Good luck with the diving