Why do you meet with your CLEO to submit your application? This is not a requirement. You are required to NOTIFY your CLEO, not meet or talk to him.
The only thing I would potentially do in NH before submitting my application is meet with the appropriate zoning person to confirm that the type of FFL you want to get is allowed under town zoning bylaw. The ATF will contact this person and ask the very same question so knowing the answer ahead of time is good.
Once you have your FFL there are other things you need to apply for/get (NH license to sell pistols, background account with state police, etc).
For reference I am a FFL in both Littleton, MA and in Nashua, NH.