How do I compare reads between two bam file?

I would like to find reads in one bam files which are not in a second bam file.

Is there an easy way to do this?

My way for now is:

1. sort both bam files by read name
2. extract read headers of both files (using cut -f1) for easier handling
3. run diff on both files
4. manually search for differences

But this seems to me very tedious. Is there a better way?

thanks