I have a friend who decided he wanted a piano and a couple of years ago, knowing nothing about them, ended up finding a Chickering 1925 grand, about 6’ for $800 delivered and tuned. I tuned it for him last June and was surprised at how nice it is. It has a very nice tone. In my opinion it needs hammers and a regulation but he plays it and is very happy.
So there are great deals out there. I think the key is patience. The piano will find you.
I agree, a fairly decent baby grand piano can be had for not a lot of money, but you have to know what to look for, and be somewhat educated about acoustic pianos. Also, the woods are not full of them, but they are out there. That is why you have to look hard and be patient. If you want a piano now, the digital is likely the best way to go. Even if you buy a relatively inexpensive, weighted 88 key digital, you can still be on the lookout for a decent grand at a price you can afford.
I got my acoustic piano education the hard way, from the piano school of hard knocks, and past mistakes. But I learned nonetheless.
In your situation, before I went out and bought a $1000 digital piano, (and a pretty nice one can be had for $1000 or less), I'd be inclined to learn a bit more about acoustic pianos, if that is what you really want.
Fact is, although there are lots of opinions here on digital pianos, there is a huge difference in the tone, and usually the touch, between a digital and an acoustic. I too have a decent digital, that I play often, but it always has that "electronic tone". I much prefer my acoustic pianos, as a general rule.
Also, if you buy a "fixer upper" acoustic piano, you will either have to learn to tune it and work on it yourself, or hire a professional piano tech. Most good piano technicians charge roughly $100 an hour, possibly more. On the other hand, they can get a lot done in an hour. Just some things to consider.
Also, and this is just my opinion, a new/newer grand piano can cost upwards of $30,000, depending on the brand. With that in mind, if you can find a decent, tunable, playable grand piano for $3,000 or less, you are doing very well. If you can find one for less than that, you are doing very well.
So, to recap, educate yourself, as much as possible, and search your heart and mind to decide what you really want. Play as many different pianos as you can, both acoustic and digital. And, have a plan A, a plan B and a plan C.