Hi Whyte Ice,
If you are serious about getting better without going the complete school/theory route, this may be useful. Apart from the chord reference guide, I used all of the below to get to some pretty decent playing skills over 3 years, practicing virtually every day.
Look on the web for a piano chord reference that has visual representation of the chords (where to put your fingers.)
If you can play C major, F major and G major, you can write a major-key song (well, at least you'll have the chords for one.)
Won't give you a ton of choice, but those three chords will give you a good base from where to go. Play them until you can do them in your sleep.
Then play them in every combination you can think of while humming or singing melodies to them, to feel how your choices of the three chords change the melody you are singing.
Then you can "look" at D minor and A minor (on the web reference.) because they complement the above 3 chords very well.
Practice them 'til you are blue in the face. Now at least you have a small but flexible 5-chord working base. Now incorporate your two new minor-key chords with your three major-key ones in as many combinations as you can think of. Just have fun with them. Sing with them, see how it feels.
A note about excercise: at first your hands will be tired and somewhat achy; stop when you feel it. If you plan on applying yourself, practicing every day, something very valuable: warm up your fingers and hands like a gymnast before an event.
If you are lucky in your search, the web site will have info on/links to fingering the basic C-scale on a piano (you've heard it, up and down, up and down.) Do it slowly at first, then faster, and do it until you hate it, then keep doing it. And excercise each hand, no cheating
You are doing it to warm up your hands, to strenghten your tendons, to increase your flexibility, and to prevent small
ligament tears which can be painful (it's the precursor to repetetive motion syndrome.)
Always start your playing day with those, no matter how good you get. Your hands will like you for it.
Smaller doses of slower playing, then bigger doses of slower playing, and on and on to faster playing.
You'll be amazed at how strong your fingers become from this.
I don't mean to overwhelm you with info, so just keep of this what you like, even if it is for future use.
This takes work. It takes patience. But, short of music classes, or being a natural-born genius, this is the simplest solution to just getting playing I can come up with. You will find that, with some discipline and a decent ear, you can go quite a ways on your own. The more you play, the more you will discover.
Best of luck,
CC