You should be aware that both the cases listed are "last year's models". The 1200's been replaced by the DF-85. The 932's been replaced by the HAF-X. I have direct experience having built multiple boxes with all of them except the HAF-X.
1200 versus 932 - Both are very similar, yet some differences stand out. The 1200 is sturdier and has two H-U-G-E advantages:
1. Air Filters - I like air filters, the 1200 has them. Not only does the 932 not have them but it also has a lot of open grille area and tends to suck in dust from everywhere.
2. CPX Form Factor PSU Capability - Back when the idea was to squeeze lotsa stuff into a small case, PSU manufacturers where "squeezed" (pun intended) by market pressures into the ATX form factor. With today's huge cases being acceptable even desired, there's plenty of room for a "bigger and better idea". With the extra room, a PSU manufacturer can build a cooler, quieter box and get the same performance as its smaller brethren for lower cost. The Antec CP-850 never gets outclassed in the performance arena and nothing has matched it yet price wise. It's also extremely quiet.
The 932 is just about completely tool less which is a signiifcat advantage....however I don't quite like the retention mechanisms as they feel a bit flimsy and are often hard to line up. I often felt like I was going to break something. The 1200 OTOH has its oddities, using thumbscrews to hold in the three HD cages. If ya installed all 8 for each cage, that would be 24 screws on and off each time ya cleaned the filters. I remember wishing for more / bigger openings on the MoBo tray w/ the 1200.
The HAF-X addresses some of the concerns with the 932 but I don't wanna say to much about it as yet as I haven't done a build w/ it yet. Newegg has videos for both which will give you a good perspective on both. The DF-85 reduces the fan filter cleaning from the 1200's 8 minutes to 8 seconds with DF's hinged doors. OTOH, the doors on the 5.25 bays are a little silly and seem as not so good a trade off of style versus substance. The 2.5 " Hot Swap bay on the DF is real attractive to me for storing off site backups. The SATA back planes which let you slide HD's and SSD's in and out w/o the bother of detaching / attaching cables is soooo big on the 'wow this is nice" list. Both cases have this feature, but only the DF has the external hot swap one.
Building inside the DF case was my easiest build to date. Plenty of tray openings, plenty of points which to attach zip ties (I use about 40-60 per build) . But most important, to me anyway, it still has fan filters and still fits CPX power supplies.
Both Antec and CM annoy me to no end with their molex fan connectors. CM gives ya Molex to 3 pin adapters but who wants to try and hide or "neaten up" all those wires and plastic connectors ? Put a 3/4 pin connector on the fan ..... peeps buying these cases are buying enthusiast MoBos w/ oodles of fan headers and these guys won't let us use them. On my builds, I remove the molex, and build my own connectors
http://www.frozencpu.com/products/1821/ele-173/3-Pin_Power_Supply_Connector_Pins_Set.html
http://www.frozencpu.com/products/1828/ele-180/FrozenCPU_3-pin_Female_Fan_Connector_-_Blue_UV.html
Then sleeve em up in UV sleeves and heat shrink the ends.
http://www.frozencpu.com/products/3726/slv-25/FLEXO_PET_14_Nylon_Cable_Sleeve_-_Ultra_UV_Blue.html?tl=g35c177s363
In closing, the 1200 and 932 were very good cases.....the DF-85 and HAF-X improve on them.....significantly. Which one peeps choose will largely depend on aesthetic preferences.