I have had (2) Compaqs in the past, and they both had power supply issues. These laptops both had straight-in connectors, where the power supply attaches to the laptop. This causes the cord to bend and apply stress to the connector inside the laptop, and eventually it looses connection or you damage the cord itself. Look for a laptop with a 90 degree connection where it attaches to the laptop. This allows the cord to just hang down, rather than bend down.
I have an ASUS laptop currently. It's great, but definitely more money than most laptops you will find at BestBuy or Office Depot. I wanted a ultra-high resolution screen, and I wanted a docking station for my desk at home. The ASUS also came with a 2 year warranty, when most others all come with a 1 year warranty.
Like the Junkman, I like to build my own desktop computers. I have a desktop in the office, but also a laptop, even though I rarely leave the house with it. The thing I like about a laptop is I can pour myself a beer from the keg, plop my butt down in the recliner in the living room, turn on the 52" LCD and watch TV while reading my Adam's Forum!