>>368717I'm pretty sure I've got the ones in the top left of your shot, the Petzl Vasak with the full strap on binding (Vs semi- or full-auto clips)
Insofar as I can tell, they appear to be the only "real" crampons you've posted. Bottom shot is of what appears to be 6 points (dafuq?) which you can't front point with. They're basically a step between full crampons and microspikes. The ones on the right are 8 or 10 points, but still have no FRONT points, which are what you use in the steeps.
Firstly, your boot is the first step. I've worn my Vasaks with Keen hiking boots and they worked just fine, might have needed a readjustment after awhile but I didn't have too. However, if I tried using rigid crampons with those boots, they'd have popped/shimmied off in no time, the Vasaks flex though. You'd want rigids for verticle ice climbing, or SERIOUS mountain usage, but if you're asking here I assume you want flexies.
As for clipons vs straps, if your boot doesn't have the shank for them (hard rubber rand where the clip goes) then you'll be wasting your time with clip ons. Straps are more prone to shimmying and take a little more to get on properly, but they'll work with any boot (mostly any boot, try em' on with YOURS)
SO, we've discussed straps, stiffness, and points. But we left out the most important points, FRONT points! Notice the orange ones have points in the front that stick out horizontally. These are for kicking into snow/ice hard enough to support your weight. Notice their 'flat' orientation, (the contact surface is HORIZONTAL to the ice). This makes it less likely for your points to shear through snow. ICE climbing crampons, for HARD fucking ice, have VERTICLE points on the front, like little ice axe points.
SO, get strapons, with 10/12 points, HORIZONTAL front points, flexible design, you'll want an antiballing plate for the bottom, and they'll be called "General mountaineering crampons"
Don't be cheap like those knock offs in your image.