Re: blown lightbulbs
mm, 240V loads are not affected by a bad neutral, so turning them on tells you nothing. Then,if you turn on all the 120V loads, they may balance out so once again you get little or no info.
The best test would be to turn on all the 120V loads; then go to the panel box and turn off all but one of the A circuits (or B). Now you can check the voltages. If the A load still has normal voltage, this verifies the supply neutral is OK.
About going to Radio Shack and getting not the cheapest multimeter, but the cheapest one with min/max, you will be getting an accurate meter. The electronics are simple these days and cost little for the manufacturer. On the other hand, I have had to send an expensive Fluke back (Model 87) because the low part of the voltage scale was very inaccurate due to a design decision they made. I tested almost all the multimeters on the market when I was manufacturing gaussmeters which used the millivolt circuit. One of the cheaper ones gave me the best accuracy and reliability.
As for going to Radio Shack, many electricians think that they will have to spend a lot of money for an instrument they don't normally carry, and so they don't get it.
Karl