Lots of fantastic recommendations here.
For the immediate future, any decent gun shop with it's own shooting range will likely have staff of instructors that will most likely include female instructors. The ones by me have a ladies night once a week or a couple of times a month.
My wife and I both grew up with guns all our lives. My wife lived in a state where she was allowed to get a carry permit at age 18. Her dad gave her a revolver when she moved away for college. She and her girlfriends came in the house one evening to find a burglar. Her friends never knew she carried. They found out when she sent the scumbag running from the business end of her gun. She knows how to use it. He's damn lucky he chose flight vs fight.
We now have 3 small children in the house. Every gun in my gun safe with the exception of my black powder rifle is loaded with a round in the chamber and the safety on. The wife and I each have a
GunVault pistol safe...each with our own pistol loaded and chambered. It reads your finger print, opens from the front and fits under the bed. They ain't cheap ($300ish) but I would have zero chance of getting to the main safe when SHTF. There was a company that made an under the bed long gun safe that would fit a shotgun and had a spring loaded drawer a few years ago. Apparently out of business now. Too bad. Great idea.
I do not believe in combination (any type) locks or key locks on my immediate access safes. When the door is being beaten in and your adrenaline has spiked, the fine dexterity in your fingers is gone. At that point, your gross motor skills are all you can count on. There is one interesting way to keep your shotgun secure and relatively accessible. Stack-On makes a small safe that mounts in the wall, between the joists and fits nearly flush. Unfortunately, you still need a key to open it.
Stack-On In Wall Safe.
Each of our children are regularly exposed to firearms and and allowed to touch/hold them unloaded if they ask (they rarely do after the 1st-2nd time). Takes away the mystery. When they are old enough (one is just this year), they will be able to shoot if/when they want to.
Start a neighborhood watch. You may only get one or two takers but with the break in's you describe, you may get more. You can set up a meeting with your neighbors and your local Law Enforcement and have an informal meeting right in your living room or neighborhood clubhouse (if you have one). Also, you can get started and research here...
USAonWathch.