All major firearm manufacturers make compact and subcompact models of their handguns. Compacts tend to have around 4'' barrels and are easily concealable, sub compacts 3''. I carry a subcompact, and it is very easy to conceal.2. It has to be able to be concealed easily as its primary purpose would be CCW.
There is no safe handgun to keep around children. You must have positive control of it at all times, or keep it unloaded and locked.3. The safer it is to have around children, the better. Nothing that would be easy to have an AD.
Stay away from some of the larger handguns in this case, and I would recommend staying away from anything with a thumb safety if you have this kind of issue. I know women with small hands who have a very hard time operating thumb safeties.4. It can't be too difficult to function or take too much hand/body strength.
You can get used to anything. My wife shoots my .40 caliber handgun all of the time, and has no problem handling recoil.5. It will preferably be comfortable for practice shooting and will minimize recoil.
6'' is actually pretty long if you're referring to the barrel. The new polymer handguns are quite light, but ammunition always adds weight. 9mm tends to weigh less than the others, even though they have a higher capacity.6. It will be about 6", about the size of my hand, and the less it weighs, the better.
This will depend on personal preference. I have a friend who hates the grip on my Springfield, I love it. You need to go to a gun range and rent several different ones to see what suits you.7. It will be at least moderately comfortable to grip, hold, and shoot. (Realizing, of course, that this is subjective and dependent on hand size but some are known to be more or less comfortable so I thought it worth mentioning.)
9mm is the cheapest and most available round (IMO).8. It would be great if it used a bullet that is inexpensive and easily attainable, though not necessary.
9. The less expensive it is, the better. lol
Below is a list of handgun manufacturers. Check out their compact and subcompact lines, write down the ones you like (or think you would like), and go try them out.10. I already know about Glocks so no need to mention them as I'm looking for what else is out there that might also be worth considering. Modifications to stock guns which would make a gun worthy of consideration would also be appreciated knowledge.
11. It would be great if it had some aesthetic worth as well.
What would you recommend considering the above?
Those are high quality weapons, besides Glocks, which you will find in the same price range and easily available in most places. Look for a 9mm compact or subcompact without a thumb safety.
I know you said you have already heard about Glocks, but honestly there's a reason that many first time gun owners purchase them. They're easy to shoot, clean, and have a great reputation. I don't own a Glock at the moment, but I'm sure at some point I will.