Bash For-Loop on Directories

Quick Background:

$ ls src
file1  file2  dir1  dir2  dir3

Script:

#!/bin/bash

for i in src/* ; do
  if [ -d "$i" ]; then
    echo "$i"
  fi
done

Output:

src/dir1
src/dir2
src/dir3

However, I want it to read:

dir1
dir2
dir3

Now I realize I could sed/awk the output to remove "src/" however I am curious to know if there is a better way of going about this. Perhaps using a find + while-loop instead.