First thing you should get when you move out on your own is a proper first aid kit for the house.
By proper I do NOT mean those prepackaged shit boxes they sell for 9.99.
I mean get a small tool box or large tackle box and fill it with useful items. Trauma pads and quik clot, tape, good scissors, razors, tweezers, a variety of band-aid sizes for all types of injury, different goops and ointments, oral stuff too, like Anbosol or whatever the numbing shit is.
Also multiple different disinfectants like iodine, alcohol, and H2O2. Know when to use each one.
And emergency drugs seperate from your regular stash. Acetomeniphen, ibuprofin, sickness pills, and maybe a reserve of any prescriptions you have.
Cant think of anything else, but those are the basics.
I use a bright red toy box and keep it on top of the fridge. Easy to see, easy to grab. Top comes off completely and I can immediately see everything. I even have a few rubber gloves in there in case I have to treat someone besides myself.