For those looking for a potent trauma kit that aims more towards the general prepared citizen as opposed to full on tactical, Wild Hedgehog Tactical offers a great fit with their EDC Pocket Trauma Kit.
Starting off the kit, the pouch itself used is the Maxpedition Micro Pocket Organizer which is great on its own. It has a mesh sleeve on the exterior, single zipper opening, 2 sleeves on the interior sides with bonus elastic slots for further stashing. One side also has a cord loop as a lash point, and the exterior has a nice size webbing handle to make grabbing out of pockets or packs easy.
On to the important part, the actual medical kit contents, I think they did a good job picking components that will be useful, yet also don't take up a lot of space. Although capable of stabilizing a serious injury like a bullet wound, this kit also has items for small boo-boos that you will be much more likely to use.
As a quick breakdown you get:
SWAT-Tourniquet - for stopping large appendage bleeding
Celox Rapid Ribbon - main bandage / gause for controlling bleeding
CPR Face Shield - allows one to give air cpr without contamination
Black XL Nitrile Gloves - to protect ones hands from contamination
Bandages - Like your classic Band-Aid, but non brand name is adhesive dressing
Steri-Strip Wound Closure Strips - to try and fully cover a small would to seal it
Iodine Wipe - to help clean/prep a wound area before putting on a bandage
Alcohol Wipe - to help clean/prep a wound area before putting on a bandage
Bacitracin Ointment - Similar to concept Neosporin being an antibiotic to prevent infections on a wound
The SWAT-T doesn't quite have the crank tight power of a tactical tourniquet and can take some practice to securing it to complete a wrap (especially with one hand), but is still effective and takes up overall a small amount of space. It also works well to add pressure to a bandage and doesn't have to be used to full on tourniquet tightness.
With the other items being fairly straight forward, another nice feature is the kit is not stuffed impossibly tight so there is still room to add extras as desired. Most of the EDC Pocket Trauma Kit comes sealed so you can choose what you want to stay packaged for cleanliness, or what to have already open for speed. Some are going to be more obvious than others such as opening up the SWAT-T is a good idea, but pre opening the Bacitracin not so much.
It can end up costing more, but I definitely recommend getting comfortable with all items in the kit. During a stressful time sensitive situation is not the time to figure out how to use an item. Luckily things like the SWAT-T you can go and play with plenty and still use later, but items like the CPR shield you will just want to replace after familiarization. This may also run into the general question of why not just make your own kit and the main reason is definitely convenience of having a kit all ready to go as is, but buying small quantities of medical items can be difficult. Usually they are sold in packs so it ends up costing more when you only wanted a couple bandages, wipes, etc. With those considerations the EDC kit is a good starting point and then you can always replace the parts you end up using.
Making sure it wasn't glossed over, I wanted to stress the small size as being a great perk. The kit fits great in a cargo pocket, and can still fit in other pockets like a back butt pocket. A medical kit is no good if it is not around when you need it, so making it a size that is not a hassle to carry greatly helps the chances you will have it when needed.
If interested, but it appears the EDC Pocket Trauma Kit may not be the perfect fit for you, be sure and checkout Wild Hedgehog Tactical's site as they have various other well thought out kits as well!