I was uncomfortable carrying for the first 3 months or so of Carry.
I was brought up with range safety and paper shooting lines of safety.
The thought of a fully loaded weapon on my hip with no external safety was just.... erf.
You'll eventually get used to the feeling -- to the point that if you're ever dressed and you don't feel the weight of the weapon & holster tugging on your body you'll feel very weird / naked. A lot like those who wear watches and the band breaks ... thus they feel 'weird' in not wearing the watch for a day or two.
Tips:
a) be aware of your surroundings, sure this was prolly covered in your CHP class. For me this took a while to get used to - I used to *ALWAYS* have earbuds playing some soft music. Not anymore. While I don't doubt I could be aware of things with the soft music (usually a smooth jazz for those curious) ... it's just a good idea to not have it
b) resist the urge to tap your weapon when you talk to someone or go through a doorway into a store etc. most people make a subconscious check of it's presence.
c) it stays holstered unless you feel the need to pull it's trigger is immanent.
d) find a really good quality holster. i've got a crossbreed with horse leather. many folks will agree that they rock. get something sturdy, ultra comfortable (or else ya won't wear it), and something that completely covers the trigger guard / area (safety reasons).
e) for my particular pistol in it's holster, i've found a 2 o'clock position with a heavy cant to be the most comfortable for me. a 4 to 5 o'clock position with heavy cant also worked for me but was hard on my jeans. the 2 o'clock *might* print a bit more... (right handed btw).
f) you're armed. you know you're armed. what are the odds that the other person you're talking to is armed ? Be polite and courteous to everyone if you're not already that way. Sir, Ma'am, the whole nine yards. A polite and friendly attitude goes a long way for staying out of a nasty situation.... doesn't matter if the other guy is armed or not... there IS a gun in EVERY situation YOU will be in.
g) practice your draw with an unloaded weapon at home. practice your draw with a live weapon at the range. practice! practice! practice!
h) your weapon is only there to keep you alive if you're in immediate bodily danger, not to try to de-escalate a screaming match.
*) NE state law is clear about interaction with peace officers. You walk up to an officer to report something - declare yourself (it's official contact... i don't care if you initiated it damnit...). You're in the passenger seat and buddy gets pulled over for not using his turn signal - declare yourself. LEO is checking out an alarm in your office complex, declare yourself.
Talking about the weather, sports, and completely random stuff ? Don't worry about declaring yourself.
LEO aren't the bad guys. Telling them that you're armed usually also makes things slightly less stressful from what I can tell (not a LEO, so dunno?). They appreciate being told and usually take such a thing as a sign that you're not gonna be a total dick to them. Also, find something to do with your hands to keep them in front of you and away from your weapon (something odd for me, i'm a thumbs-in-pockets kinda guy).
There are some bad videos and bad stories about encounters with LEO while concealed carry. Those are unfortunate and are a
MINORITY.
There are several videos of LEO using excessive force on random folks. Again, it's a minority. Why these particular LEO don't get the full force of the law brought down on them is beyond me... but that's a side rant.
Treat the LEO with respect (has this particular LEO done anything bad to you to warrant otherwise??).
Get to the point where you find yourself being arrested ? Resisting even an illegal arrest is illegal in NE. Which is odd, SCOTUS says differently ... but... whatever.
Is a shot LEO, yourself being shot, or those around you being shot (if you happen to be in NYC or LA

)... and the mountains of paperwork and legal fees worth the hassle of how an unfriendly contact with LEO will turn out ? Be polite and take judicial routes after the fact.