If it's a rectangular track base then six lift points are sufficient. One in each corner and one in the middle of the long side on either side. The underside of the platform needs to be structurally sound (2"x3"s on 12" centers is fine if you use another board under the sides to run the attach points to). The attaching points can be detachable hooks to get the rope out of the way. Traditionally when picking up like that you will have the six pulleys set directly above the lift point of the platform and all the pulleys will point towards a common location where the lift actuation occurs. I wish I could draw a picture, I'll have to look into it. The actual pulley strength and rope strength need only support a few hundred pounds in order to be overkill. The layout might be heavy to you and me but to a pulley it won't be anything, I hope that makes sense.
Legs can be detachable, hinged or whatever. You could even use saw horses if you have them. It would probably be nicest if they were attached to the platform and hinged, then locked into position.
No matter how you get the platform in the air, it MUST be physically locked into the up position when it is up in the air. Ropes stretch, screws come loose etc and you don't want to be under the thing if it breaks loose. Safety first and all that. The likelyhood of it coming loose are slim but why take the chance?
If you opt to use fewer pulleys then I mentioned, which is perfectly all right, you just need to allow for the rope being on an angle which won't allow you to pick the platform up quite as high. Again, the platform isn't as heavy as you think it is. With multiple pickup points you're perfectly all right. If just ONE pulley can pick up your weight then you've got it whipped.
You can do as Ecurie was considering and use just one rope but I have always preferred to build with plenty of backups in mind. One rope fails or one block fails and the whole shooting match is on the floor. Hopefully there wasn't anything under it at the time. I've had a few near misses when crane loads broke free over my head. You don't want to be in that situation.
This is one of those things that if I were there I'd be able to show you exactly what needs to be done or do it myself. It really isn't a big job, but then I spent a lot of years in construction so anything smaller than a city block is small
Just take your time, brace the ceiling and use good hardware. You may want to use either a power winch or a geared winch like those used on boat trailers to save you any effort picking the thing up.
