Most bikes are metric. In fact, you'll be surprised at how much you can do with only a 5mm allen key. As you get more into it, you will find that you need some more specialized tools but what you need will depend to a great extent on the particular bike that you're working on and it's age. Honestly, my recommendation is to start with a decent quality metric allen wrench set and acquire other tools as you find that you need them.
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My greatest fear is all of my kids standing around my coffin and talking about "how sensible" dad was.