To get the output of df to display the data in kb you just need to use the -k flag:
df -k
Also, if you specify a filesystem to df, you will get the values for that specific, instead of all of them:
df -k /example
Regarding the body of your question: you want to extract the amount of free disk space on a given filesystem. This will require some processing.
Given a normal df -k output:
$ df -k /tmp
Filesystem 1K-blocks Used Available Use% Mounted on
/dev/sda1 7223800 4270396 2586456 63% /
You can get the Available (4th column) for example with awk or cut (previously piping to tr to squeeze-repeats (-s) for spaces):
$ df -k /tmp | tail -1 | awk '{print $4}'
2586456
$ df -k /tmp | tail -1 | tr -s ' ' | cut -d' ' -f4
2586456
As always, if you want to store the result in a variable, use the var=$(command) syntax like this:
$ myUsed=$(df -k /tmp | tail -1 | awk '{print $4}')
$ echo "$myUsed"
2586456
Also, from the comment by Tim Bunce you can handle long filesystem names using --direct to get a - instead, so that it does not print a line that breaks the engine:
$ df -k --direct /tmp
Filesystem 1K-blocks Used Available Use% Mounted on
- 7223800 4270396 2586456 63% /