Quick AES and related encryption question

I am thinking about incorporating an encryption matrix into my
compression tool (getting VERY close to completion, we are working out
bugs with the last logic routines now)

I would like to know what size increase can be expected from these
encryption standards/softwares and what level of 'near randomization'
is actually effected

I am mostly worried the size increase will offset the size savings, and
render this avenue moot for my purposes.

Anyone able to help me???