MySQL Database Design - Put these fields in Users table or create new table?

Yes, put them in your users table. Columns are cheap (if they are often null or small), particularly as your users table is guaranteed to be very small (You cannot possibly have a large number of users).

You want a bit type for any boolean field. You can also use bool or boolean, but those are aliases for tinyint(1), as is bit. Don't use enum, as it inserts an empty string when an invalid entry is input, rather than throw an exception.

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