I realise this question is a little old, but I have just been struggling with this problem (not used TeXnicCenter for a wile, so hadn't noticed the problems when upgrading Adobe) and this thread is the only one that solved the problem for me. I had to use a combination of the above answers, though, so I thought I would document what worked for me.
I am using Windows Vista Business edition, TeXnicCenter 1.0, and Adobe Reader 10.0
Go to Build->Define Output Profiles-> choose "Latex => PDF"
1) In the viewer tab, change the executable location to point to
C:\Program Files (x86)\Adobe\Reader 10.0\Reader\AcroRd32.exe
2) View project's output: Select DDE command and enter
[DocOpen("%bm.pdf")][FileOpen("%bm.pdf")]
Server: arcroviewR10 Topic: Control
3) Forward search: Select DDE command and enter
[DocOpen("%bm.pdf")][FileOpen("%bm.pdf")]
Server: arcroviewR10 Topic: Control
4) Close document before running (La)TeX: Select DDE command and enter
[AppExit]
Server: arcroviewR10 Topic: Control
In particular, it was point 4 that I needed to do, and despite searching a while, this is the only place I have found advice to switch the DDE command to [AppExit] and it worked a treat. Thanks Claudia!
I have not needed to change the Adobe Reader settings at all (i.e. it is still in Protected Mode at Startup).