How do I use the nohup command without getting nohup.out?

nohup some_command > /dev/null 2>&1&

That's all you need to do!

Have you tried redirecting all three I/O streams:

nohup ./yourprogram > foo.out 2> foo.err < /dev/null &

You might want to use the detach program. You use it like nohup but it doesn't produce an output log unless you tell it to. Here is the man page:

NAME
       detach - run a command after detaching from the terminal

SYNOPSIS
       detach [options] [--] command [args]

       Forks  a  new process, detaches is from the terminal, and executes com‐
       mand with the specified arguments.

OPTIONS
       detach recognizes a couple of options, which are discussed below.   The
       special  option -- is used to signal that the rest of the arguments are
       the command and args to be passed to it.

       -e file
              Connect file to the standard error of the command.

       -f     Run in the foreground (do not fork).

       -i file
              Connect file to the standard input of the command.

       -o file
              Connect file to the standard output of the command.

       -p file
              Write the pid of the detached process to file.

EXAMPLE
       detach xterm

       Start an xterm that will not be closed when the current shell exits.

AUTHOR
       detach was written by Robbert Haarman.  See  http://inglorion.net/  for
       contact information.

Note I have no affiliation with the author of the program. I'm only a satisfied user of the program.