Base 60 (like the Babylonians and Sumerians) is actually a terrific base for daily use. Base 12 is similarly good, and more functional.

60 and 12 are both divisible by 2, 3, 4, and 6, which are some of the most common divisions that people need in daily life.

Base 60 has the additional advantage of being divisible by 5, 10, 15, and 20 as well. Note that we still use bases 60 and 24 for our timekeeping, and it's extremely convenient to be able to divide up the hour or day evenly into these chunks.

The metric system is great for scientific purposes, but the properties that make it good for scientific use are not terribly relevant to household or daily use.