Hey, I just wanted to add that I'm in a similar situation, having recently brought a pretty keyboard, and not really sure how to progress, I found some free sheet music online printed that out, and started playing, which is pretty easy and free, some sites e.g this one give you i based on level 1, 2, 3 etc. so you can progress through the levels which could be useful. The most important thing is to practice lots though, am sure if we do that we will persevere.
Free Piano Music!
Thats the site has probably a couple of hundred of free pdf downloads, if you worked from the first to the last and got them all good, you would improve a whole lot. Now just set an aggressive time scale, I'l race you if you want to see who can get to the end fastest? hehe
Also I can't afford an instructor, but have several friends who play, and am sure you do too, so if you ask people nicely they may help you with tricky bits, that's my plan anyway. And I may also print out the last piece as an aspiration, I think I will try and get them all done by Christmas... that is if you want to race.
4th and final edit lol, the last piece is 30 pages and is Pathetique, which sounds awesome if you listen to the midi, if I can play that by Christmas I would be very happy.
5th edit, so I lied, he also has workbooks available, which may help you with learning to read music, which would probably be fairly important, I'm ok, but will probably do the workbooks anyway just to increase my understanding and stuff.
Also I'd like to just note that I am in no way affiliated with this website, and there are probably dozens of others which do the same thing, I just found this one first.