Expanding on your advice: when diversifying it helps to not throw darts. It may be best to not have investments only in tech, auto, health, etc., but it's quite another to randomly choose a company or two in different sectors.
Unsolicited advice ;-):
* Tech: ARMH over MSFT over FB (phones/tablets need to be low, low power and P/E of FB seems egregious)
* Auto: VLKAY over F over GM (100MPG TDI trumps "made in USA" trumps bankruptcy)
* Health: ILMN (NGS is the next $100BB market http://bit.ly/fYehBI )
(OP: I'd be more than happy to be a "trial run" for your angel investing. ha! ;-)