Is there any way I could check that here at my house without having to hook it up to one of them computers?
yea. the relays flotsam mentioned are in the underhood junction box. the ones i'm thinking of should be under the dash, either near the center console, or near the hood release.....but up higher to hide them. sometimes just a tap on them will make them work, almost like an old turnsignal flasher.
if you can't find them, try to note conditions when it next doesn't start......like temp, humidity, if it's been sitting all night, etc.
most things aren't intermittant. fuel pumps rarely go intermittant. same with ignition coils, and/or crank or cam sensors. relays, however, still seem to do this.
if it acts up again, keep feeding us information......we'll get it figured out for ya.