It seems that these two operators are pretty much the same - is there a difference? When should I use = and when ==?
There's a subtle difference with regards to POSIX. Excerpt from the Bash reference:
string1 == string2
True if the strings are equal.=may be used in place of==for strict POSIX compliance.
You must use == in numeric comparisons in (( ... )):
$ if (( 3 == 3 )); then echo "yes"; fi
yes
$ if (( 3 = 3 )); then echo "yes"; fi
bash: ((: 3 = 3 : attempted assignment to non-variable (error token is "= 3 ")
You may use either for string comparisons in [[ ... ]] or [ ... ] or test:
$ if [[ 3 == 3 ]]; then echo "yes"; fi
yes
$ if [[ 3 = 3 ]]; then echo "yes"; fi
yes
$ if [ 3 == 3 ]; then echo "yes"; fi
yes
$ if [ 3 = 3 ]; then echo "yes"; fi
yes
$ if test 3 == 3; then echo "yes"; fi
yes
$ if test 3 = 3; then echo "yes"; fi
yes
"String comparisons?", you say?
$ if [[ 10 < 2 ]]; then echo "yes"; fi # string comparison
yes
$ if (( 10 < 2 )); then echo "yes"; else echo "no"; fi # numeric comparison
no
$ if [[ 10 -lt 2 ]]; then echo "yes"; else echo "no"; fi # numeric comparison
no