Demanding frequent Sign In for websites like LinkedIn, Facebook and Naymz

Question

I can't stay logged in for these websites because almost every time when I change page Safari asks me again to sign in. This problem started after I changed my old Powerbook G4 (running Tiger) to new MacBook Pro with latest software (ie. Leopard). Firefox doesn't have that problem.
I don't have private browsing and I already did following maneuver without effect:
+From the Safari contextual menu, select Empty Cache+
+From the Safari contextual menu, select Reset Safari.+
+Check all options and click Reset.+
+When that has completed, quit Safari.+
+Navigate to HD > Users > Your Account > Library > Preferences:+
+In that folder, locate and move to the Trash, this file com.apple.Safari.plist, and if present, com.apple.Safari.plist.saved.+
+Navigate to HD > Users > Your Account > Library > Safari.+
+In that folder, move to the Trash all items except Bookmarks.plist.+
+Navigate to HD > Users > Your Account > Library > Caches > Safari.+
+In that folder, move to the Trash, any items that appear.+
+Empty the Trash.+
+Run Repair Permissions.+
+Again run Repair Permissions.+
+Try Safari.+
Can anyone help me please?

Answer 1

Hello Aarne
Welcome to Apple Discussions
The problem may lie in your Keychains file, especially how passwords are accessed for Safari.
Try this: Open Keychain Access.app in your Utilities folder. Highlight one of familiar keychain entries on the right side or type a familiar name, such as Facebook, in the spotlight panel. Then double click the entry. When the panel opens, select "Access Control".
In the "Always allow access" panel, click on the +, then navigate to Safari in your Applications folder. Save changes.
Just for good measure, go to the Keychains Menu>Keychain First-Aid and select "repair". If any errors appear, rerun until you get a clean pass.
Close Keychain Access and restart Safari.