For me, i have tried pencil thin small guns.......but NONE of them proved reliable enough for use IMHO as conceal carry. I had Kahr and Sig...both crap.
My Sig Sauer P239 was great but a little big and limited ammo capacity. I wore that for years and years. Can't remember the last time it malfunctioned.
Then about 2 years ago, i got Sig P320 SUBcompact and i have been very happy with it. Thicker than what i want but i do have 12+1 round capacity. I have fired easily 600+ rounds...and have had two malfunctions...both of which is that the slide did not lock back after the last round. I was firing cheap ammo...so, not sure of reason...but that type of malfunction i am OK with.
You cannot go wrong with Glock. The newer ones are nice but i don't know much about them.
And yes, i ALWAYS have my P320 on me when i leave home except when i go to work.
For safe, i use: GunVault GV2000C-DLX.
Make sure that it has a AC/DC power adapter for external power supply (along with 9V backup). Quick access is the key. Don't trust biometric (fingerprint)...because you hands could be wet or chapped, etc..