The sound like what are called "vari-focal" in the UK. I've been wearing them for probably 8 years now, but I never found them very hard to adapt to. My "reading" prescription isn't very strong though (I don't think it gains me more than a cm or so in minimal focal distance), so I mainly use the long and mid part (in fact I often take them off for reading, though I don't need to the way I did with the simple distance prescription).
I do remember being told that there were different types, some with larger focal areas than others - I opted for the type with the largest usable areas.
But as for the "warping" business, the best solution may be to try them for a few days. The brain will probably work out what is going on and compensate for it, just as it does for all of the optical aberrations that the human eye produces, but it will need a little time to figure it out (there are famous psychological experiments where people wear specs that invert your field of view, and given a few days the brain figures it out and flips the image back - with the drawback that things then look upside-down when you take the specs off!).