Simple Green for general cleaning. Go to a local Dollar Store and look for a yellow cleaner in their cleaning supplies section. Stuff works great, wear gloves if your skin is sensitive.
WD40 is a great de greaser and a fair adhesive remover. Goo Gone works well for stubborn adhesive, but DO NOT use it near product lettering/printing on components. IT WILL remove it in short order.
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My bikes: '81 Trek 957, '83 Trek 720, '84 Trek 770, '85 Centurion Cinelli