I hadn't heard of Samsung SecretZone before but as soon as I saw your post I thought there would be problems, and I see there are.
You say that the software is not compatible with your new 64 bit OS. I assume that is Windows 7, and if so, that is right. I downloaded and read the manual, a quick glance through, and I can see where it says this is not compatible with Windows 7 64 bit, (page 17 of the manual). If you don't have it, the manual is available from here;
That immediately puts your data at risk because if there is no 64 bit version of that software, how do you access your data?
Do you still have the computer with the 32 bit OS that you set this up on? If so, don't get rid of that and do not connect this Samsung hard drive to the new computer.
Samsung is now part of Seagate and I cannot find anything on the Seagate web site to show that this software is available for 64 bit OSes
The other problem is this. Even if you find 64 bit software for this SecretZone application, is it going to be able to give you access to a secretzone you created in the 32 bit software? We often find, (in particular with Windows' own EFS file encryption utility), that if certificates are lost and have not been backed up, then those encrypted files cannot be unencrypted except by force. I didn't find any mention of certificates or 'moving to a new computer' in the manual.
Personally I would connect this hard drive back on to the original computer, extract all your files, and find some other way to keep them safe. Encryption like this often causes such problems when an OS dies or a hard drive fails or similar.
My Samsung External Hard Drive Secret Zone programme is not compatible anymore with my new 64 bit OS laptop i bought last year. I read in some forums that I would need to upload a latest version of the Samsung secret zone software, however I would appreciate to have your advice on a safe download website. I found some via google but they don't seem to be official samsung products.
Thanks for your help