They will only be in the cloud if (on the old PC) you used to login to google's services (e.g. login with Chrome) and synchronise. I'm guessing that you would be aware of this if you were doing this, so probably not.
On your old PC (assuming you still have it), the bookmarks are stored in a file called Bookmarks (no extension) that is usually stored in something like C:\Users\YOURUSERNAME\AppData\Local\Google\Chrome\User Data\Default
The exact location will depend on your operating system (e.g. WinXP, Vista, Win7, Win8).
There will also be a file called Bookmarks in a similar location on the new PC. Using a flash drive, you can readily copy the old Bookmarks on to the new PC (over the existing Bookmarks file on the new PC). Make sure that Chrome is closed whilst doing this.
You should then be back in business.