some repeat of previous posts, but:

my - creates a lexical variable. this variable is a temporary variable, only visible within the block in which it was declared. also provides deep-binding which is used to create closures.

local - creates a dynamic variable. this variable replaces the value of a package global variable until the end of the block. sub-blocks and subroutines called from this block retain this local value. does not provide deep-binding and so cannot be used to create closures.