Precedence rules are really annoying to remember, so I too prefer to use brackets to disambiguate. I try to follow the advice to "write code for people first, computers second". But, there's an interesting mnemonic (that I learned from Bruce Eckel's books) to remember (some of) the rules: "Ulcer Addicts Really Like C A lot":
Ulcer - Unary (+, -, ++, --, !)
Addicts - Arithmetic (and shift) (+, -, *, /, %, <<, >>)
Really - Relational (<, >, ==, <=, >=, !=)
Like - Logical (and bitwise) (&&, ||, &, |, ^)
C - Conditional ( ? : ) <- this is the conditional ternary operator
A lot - Assignment ( =, *=, +=, ...)
It's not perfect, bitwise operators are squeezed in and we have to know that multiplication operators (*, /, %) takes precedence over addition ones (+, -).