InDesign CC crashes during startup process

Question

When InDesign CC launches, it gets to a certain point before it crashes every time at the same point.  It is the 64-bit versions only, the 32-bit will still load but it is so much slower and terrible to work in for me.  I am running Windows 7 and have all the latest cloud InDesign updates installed.  I have tried exiting the CC launcer application so the TypeKit fonts wouldn't load on startup with no avail.  I have tried using msconfig to use a Selective startup, not loading any startup items and restarting and again, no dice. 
Here's the complete text of what you see in the problem details in that window screenshot above:
Problem signature:
  Problem Event Name:          APPCRASH
  Application Name:          InDesign.exe
  Application Version:          9.0.0.244
  Application Timestamp:          5176f4c7
  Fault Module Name:          ObjectModel.dll
  Fault Module Version:          9.0.0.244
  Fault Module Timestamp:          5176f4b9
  Exception Code:          c0000005
  Exception Offset:          00000000000261c0
  OS Version:          6.1.7601.2.1.0.256.48
  Locale ID:          1033
  Additional Information 1:          9529
  Additional Information 2:          9529754cc72c58f900e33c4f1855fb96
  Additional Information 3:          fe5f
  Additional Information 4:          fe5f55426fc3e5a2feae05a45cff6f40

Answer 1

So here's what I've done now.  I uninstalled the 32-bit version and tried to update the 64-bit version but the CC app wouldn't give me an option to update.  Then I tried uninstalling and reinstalling and it said it was updating at the end of installation process, and now I have both 32 and 64-bit versions installed (I don't have an option, the CC app installs both and I don't know of any other way to install) and here's the versions I have now that it installed by default:
32-bit (9.2.1.101):
64-bit (9.0.0.244):
And of course, the 64-bit version is still crashing in the same place during launch.
Salah, you mentioned to "Try to run indesign cc 64-bit from windows start menu and install the latest update" - I actually have been launching the two versions of InDesign from the start menu throughtout this entire process.  How do I go about installing the latest update for the 64-bit version?  There's no update that appears in my CC app for me to install.
Maybe it's just the CC app that's messed up?  I did notice in the apps list that it says Lightroom 4 is installed and gives me the choice to install 5, but I uninstalled that a while ago and have been running version 5 on my machine.