I much prefer wrist computers. I find it much easier to monitor everything on a regular basis without having to reach for/pull console out. It is easy enough to just put my wrist in front of my face. I was recently in market for a new computer and as much as I liked the display on Atomic Cobalt, there was no way I could go to it only because it is a console. I have a Liquivision Lynx on the way which I am even more excited about than I ever was the Cobalt
There IS something to be said for having it all in one place on a console (assuming you are not going air-integrated on the wrist computer) and I know some dive shops push new divers towards a console for this reason, it "forces" them to check their air and such more. However, if you know you would prefer a wrist computer, go with a wrist computer and if your intent is to have a safe dive remembering to check air should not be an issue. Or...just go air-integrated and have it all in one place.
My preference is a higher tech air-integrated wrist computer with a more budget-friendy backup wrist computer. I also have a very small bud SPG that I leave on a retractor just in case something happens with my transmitting unit on my primary computer. I know a couple friends who don't have an air integrated wrist, but combine it with the small bud SPG which is much easier to maneuver than a full console.
If your shop has a few rental computers, you might want to see if you can try a few different brands and models out both on land and in the water (either at your local dive site or the pool). I think computers are a very, very personal preference. If you can't rent them, at least go to the shop and play with a few. The Mares Puck for example is one-button operation, which some people like, and some don't.
You should most definitely each have your own computer though. I would never recommend diving someone else's computer. Even if you and your wife are good buddies and close by, it is not hard for one of you to have gone a little deeper, or been at depth a couple minutes longer, etc. I am big on safety, and to me each of you having your own computer is just safer. I know *I* feel safer knowing my dive buddy and I are each are being responsible for ourselves as part of being a good buddy is also being responsible for own dive and such in the first place. Also, as someone else pointed out if you are going on a multiple day, multiple dive trip there is always a good chance that at any one time one of you won't feel like diving a dive. Not each having your own computer can really mess with the other person being able to get a dive in with a different buddy! Sucks to miss out on a dive because of not having a computer and then have the others come up saying it was the best dive of the trip!
The ONLY downside I personally find to a wrist computer is that you have to worry about putting it on after you don your exposure suit (be it a wetsuit or a drysuit). A console is already on your BCD so no worries about waiting to put it on or forgetting it in the hotel room or anything (unless you forget your entire BCD).