Once you get a meterpreter shell it is important to try and hide the process in an attempt to gain persistence.
First of all, make a note of the session number and then background the meterpreter session by issuing the background command
Then migrate the meterpreter process to another session. Do this by using the following Metasploit commands:
use post/windows/manage/migrate msf post(windows/manage/migrate)>set session 1 msf post(windows/manage/migrate)>run
This will then automagically spawn a new process such as notepad.exe and then will bind the meterpreter process to it. This hides the process from anyone who happens to be looking for anything nefarious in running processes. It also has the added advantage of making the meterpreter session much more stable.
You can also try to migrate processes by issuing the ps command, selecting the process ID or PID of another running process and then manually attempting to migrate sessions:
ps migrate 2288