If you're at the basic level, then analyse your lifestyle...if you're into shooting then take a gunshot wound related First Aid course, if you're into camping/hiking/wilderness then a NOLS-WMI course. Highly recommended. Then you can build an even more effective bag.
My daily bag that goes with me everywhere is divided into three sections. One section is everyday stuff, tweezers, bandaids, Advil, Prescription meds, etc. The other two sections are specifically built for the two most likely areas I"m going to need based upon my lifestyle. This bag never, and I mean, NEVER leaves my side. No matter where I go it goes with me - not negotiable. You come over to my house and pick me up in your car and we drive to a sportsman's show, this bag is with me. However, it typically doesn't accompany me in the wilderness because I have two other kits specifically designed for those mission profiles which are different than everyday here in rural/urban America.
I keep another more specific kit in my vehicle specifically targeting vehicular related accidents and not a one-size fits all kit.
For camping I take a substantially larger kit, with everything I need to sustain a person or two for several days - it stays in my car or at our campsite if we're not hiking very far. In the woods or camping, I also have an IFAK that goes onto a thigh rig that goes with me in the field. Much like my EDC bag, this IFAK never leaves my side. It is a tear away design so if I get into trouble a buddy can remove it easily and use my kit on me. If he is in trouble I use his kit on him (same IFAK kit, design, style, and contents - same/same). We train together, we have similar equipment.
However, nothing stops you from doing it now with what you already know or think you'll need based upon your lifestyle. I mean, your welcome to get "gear ideas" from us but honestly the procurement of items and its organization is a very individual, mission specific, thing driven by two things - your skill level and your mission (what you do or plan on doing or what you can reasonable expect).
My theory is to build a mission specific med kit depending upon what it is I'm doing. I've found in my experience a "one-size-fits-all" bag just crammed with stuff with no organization doesn't work well for novices who build the kit, and then 18 months later open it for the first time to deal with a catastrophic medical emergency! So think in terms of building your kit and organizing it in modules - one module for broken bones, one for gun shot wounds, one for serious bleeding, one for burns, etc. If you organize it then you don't have to rifle through a bunch of stuff to find stuff.
Training, continuous training, simulated practice, and living in your kit (working with it once or twice monthly) is the only way you'll be able to respond to an emergency with confidence and competence. FWIW.
Honestly, superb training and simulated realistic practice is much more important than just having a bag full of assorted med stuff.