Somewhat longer than a year ago (gosh time flies), David and Outin (and some other who I forgot to mention, I beg your pardon), helped me with picking a piano. At first I was adamant at buying a digital, but somehow, with the help of my teacher, I got persuaded into buying an acoustic.
Digital and acoustics are 2 different worlds. Even so, a digital would be nice right now to replace my acoustic. Mainly because my acoustic takes decent room, somehow I'm paranoid that I bother people with my playing, and that I'm afraid it will one day break through the floor and fall downstairs......
My comparison to both of them: when you are writing, you lean your hands on your desk. A acoustic would be a wooden desk and plastic/finish/whatever desk would be the digital. It doesn't mean either one is better, it's just what you prefer. Compare with lifting for muscle training: iron dumbbells or rubber dumbbells?
I would prefer an acoustic with headphones. Touch has to be somewhere between light and heavy (so the keys weight). Definitely not too light, because then I'd lose control, but not too heavy either, because then playing would become sluggish.
Anyways, the digital back then that I chose would have been around 1000 dollars. Thank my Lord above that I bought my acoustic for 400 dollars. Overal with moving and tuning the price was about 700 dollars, but still.

.
Anyways, choose what's most convenient for you (price/space/living arrangement/etc).
I've seen a remarkable piano player by the name of Kylelandry (look him up if you can/want to) who uploads his performances on a yamaha digital piano (sometimes also on a grand acoustic piano). Very excellent playing (for the eyes of such as myself).