How to move output of find command to another directory?

You don't need any pipe-ing, and xargs to make the filenames as arguments for mv.

Just use mv within the -exec action of find:

find /home -type f -name '*.pdf' -exec mv -t /destination {} + 

• Replace /destination with the actual destination directory
• find will handle all possible filenames
• find will handle ARG_MAX by passing as many filenames in one go so that does not trigger ARG_MAX
• If you are looking for only files (presumably in this case), limit the search vector by adding -type f
• Quote the glob expansion, '*.pdf', so that shell does not expand them beforehand as find will handle them

If for some weird reason, or for learning purpose, you must use pipe-xargs:

find /home -type f -name '*.pdf' -print0 | xargs -0 mv -t /destination