Quite a few people seem to dislike the A37 ( As I said Jessops offered loads of freebies to push the sale and the sales assistant at curry's said its not a true DSLR ) and a very friendly chap in curry's said don't buy the Sony its horrible to use...
It doesn't matter what other people think, what do you think?
There isn't a bad current production DSLR in terms of IQ but they do vary in handling, features etc. & handling especially is a very personal thing.
What you usually find is that people are used to 1 way of doing things (be that the Canon, Nikon, Pentax, Sony etc. way) & anything different throws them.
But different isn't necessarily worse, it's just different & with practice & getting to know the camera you may even find that the new way is better.
This tends to affect the smaller brands more as obviously more people are used to the Canon & Nikon* way but if you look back over the last few years imo Canon & Nikon have been appropriating functional ideas from Olympus/Pentax/Sony more than the other way around.
Having said that the A37 is different from the others in using an electronic viewfinder rather than an optical one. However, I think that it's quite easy to argue that the A37's EVF is better than the OVFs of the other APS-C bodies that you listed (harder to argue against an OVF in a FF body).
& yes, it's not a true SLR but that brings advantages like no mirror slap, what you see is what you get shooting & faster AF in Liveview & video. In a few years time there will be hardly any true SLRs in production & chances are that they won't be at the consumer level.
You need to try it & see what you think.
& don't let anyone tell you that there aren't enough lenses available to the Sony system for the kind of work that you want.
Yes, it isn't as large a system but what it lacks are a few specialist & expensive lenses - all the main bases are covered & if you take stabilisation into account there are more options on Sony than Canon & Nikon put together (& that's even including Nikon FF lenses that won't AF on the D3xxx series bodies).
Ultimately if you go with a Canon or Nikon that's fine as long as you do it for reasons that suit you & not what suits a sales person.
* & there is nothing stopping any manufacturer from changing "their" way of doing things - it seems that quite a few pros are unhappy about some changes that Nikon have made on the D800/D800E that go against 30+ years of Nikon handling