Gunny,
There is a lot of merit in going with what you know. My present issue gun is a GLOCK 19, but it would not be my first choice. If you want a compact grip, my favorite is the BERETTA 92X Compact model. It is similar in dimensions to the CZ-75D and it has a very smooth trigger. The CZ-75 is a good choice, but is not a compact pistol as far as I am concerned.
Any of the mentioned above pistols will serve you well for home defense.
However, the compact guns like the SIG 365 and SPRINGFIELD Hellcat will be harder for you to shoot, due to the greater recoil and smaller grips. My brother shot my SIG 365 and owns a GLOCK 43 and thinks they are just to unpleasant to shoot, but I feel the same way about his RUGER LC9 awful. So it will be up to you and your family as to what works best, not my or anyone else's opinion.
I strongly suggest you go to the range and try the pistols you are considering first. Many range rent guns or maybe you could get a friend to loan you one.
My wife can just shoot the BERETTA 92, but had trouble reaching the triigger, so for XMAS, she got a BERETTA 92X Compact which fits her much better than my BERETTA 92D Compact.
She also has a S&W .380 EZ pistol which is a terrific gun for people who are having trouble with working the slide on a pistol..
I also recommend against manual safeties. It is one more thing to go wrong. You may use the safety to drop the hammer on a pistol and then forget to take it off or it may be activated accidentally. I like the G models of the BERETTA pistols and the SIG decockers. They drop the hammer and then spring back to the firing position. This becomes a real issue with inexperienced shooters.
Oh, the 5.7 pistols have large magazine capacity, light recoil, but are really large guns. Also, I have not read of enough reports to believe the ammo as combat proven.
Still with the 9m.m. and get a premium round like SPEER Gold Dot or FEDERAL HST, they will not let you down.
Good luck,
Jim