I have also heard bad things about LUK clutches, but after having sets in my GS '86 CRX Si and STS '86 Civic Si, I would happily put another one in. I think that they may be easily damaged when putting the transmission back in, but that could be said about any clutch kit when improperly handled.
You could always go with the OEM Honda clutch, but in my opinion doubling or tripling the cost doesn't necessarily get you double or triple the clutch. Since Street Prepared allows for nearly any style clutch and flywheel, I would use whichever one you get the best deal on...stock, Clutchmasters, whatever is in your budget, but don't spend money just to spend it...you'll need that for the chassis. Have the flywheel machined down to reduce weight as well, usually only runs about $70 at most shops--if they charge more, walk away.
On the 84-87 cars, I would not hesitate to do the clutch job myself. It takes time with hand tools, but most places charge several hundred dollars to have it done, and its not that difficult at all! It's easier to do the mounts and axles at the same time, if you are so inclined. I know that this is a budget project, but you will quickly find that if the car is not in proper running shape, you are going to end up with a fast racecar with cool shocks and springs and seat and whatever, that just sits in the driveway because you broke the axles your first time out, and don't have money to fix it. Develop an HONEST budget first before you build, and do necessary maintenence first.
-JamesW
Needs to use his own advice