As has already been said by many "It will get easier over time".
Carry your weapon/weapons as often as possible and everywhere you can legally do so. Over time your comfort level will grow and you will become less self conscious about carrying a concealed firearm.
An old Federal Officer I once knew told us that "The best way to carry a concealed fiream is to not act like you are carrying a concealed firearm". This is sometimes easier said than done but it will happen over time with practice.
If you regularly wear a hat or carry something in your hand or elsewere on your body openly, these items can serve to draw the attention of someone looking at you away from where you may be carrying your weapon or any behaviors that may indicate you are carrying a firearm.
I am a cowboy action shooter and disable veteren. I routinely wear a cowboy hat and boots. I also walk with a cane. Invariably, these are the first things people see and focus on when I walk into a room or approach them in public. For people who have just met me or only know me casually, they also tend to be the things they continue to focus on and remember.
Assuming you do not do anything to attract attention, you will realize that most of the people around you will have no idea you are carrying.
Proud Father of an Active Duty Soldier
United States Army, Retired
Life Member Special Forces Association
Endowment Member National Rifle Association
Member United States Concealed Carry Association
Member United States Practical Shooting Association
Member International Association of Hostage Negotiators