Turn off the following in System->Preferences->Startup Applications:
Bluetooth Manager (unless your old computer has bluetooth… which i doubt)
Evolution Alarm Notifier
Remote Desktop
Visual Assistance (unless you need it)
open gconf from the terminal:
gconf-editor
/apps/metacity/general and check on reduced_resources
/apps/panel/global and uncheck enable_animations
/desktop/gnome/interface and check off the box for accessibility
Select Themes that are lighter and more responsive. You can go with something like:
Controls:Simple, Window Border:Simple, Icons:Gnome, Pointer:Default Pointer
Controls:Raleigh, Window Border:Bright
Visual Effects: None