Hi Sean,
You will find files containing your aliases under your SlickEdit config directory (shown under Help > About SlickEdit). Language-specific alias files all have a .als extension, and the global alias file is alias.slk. To move your aliases over to Core, just copy any of these alias files which you wish to move from your SlickEdit config to your Core config. You can find your Core config at Help > About SlickEdit Core.
- Ryan