Test loads: the simplest test load is a single resistor. However, for a given amount of current, a resistor can't simulate the same kind of voltage drop that your laser diode would produce. You'd have to tune the resistor for the amount of current and voltage each time. So for example, if you had a 4.5V laser diode that you wanted to test at an amp of power, you'd need a 4.5 ohm resistor that can endure 4.5W of power and cause a voltage drop of 4.5V. For some other laser you'd need a different valued resistor, usually ones that are more expensive (5W 4.5ohm resistors are relatively pricey). Instead, you could put a single 1 ohm resistor in series with some rectifier diodes that drop the voltage across the resistor to lower levels. By varying the number of diodes (which are easy to obtain and cheap), you can see what your driver needs to be set at.
Testing diodes: Buy a bunch and test them until they die. Barring that, a "rule of thumb" is to raise the current slowly until you detect a "knee" in the mW/mA graph. The "knee" is where you start getting less mW for a given mA. Prior to that point it is usually quite linear. Back off just before the knee and your diode will usually have reasonably long life.
Multimeters and test loads: One thing good about using a test load is that it keeps your multimeter out of the "loop" so to speak. In other words, rather than measuring the current using the current-measuring (mA) mode of the multimeter, you measure the voltage drop across a known resistor in your test load. So if you have a 1ohm resistor, the amount of current flowing through it will be proportional to the voltage you measure across it. Since the multimeter isn't in line with the circuit, you don't risk blowing out your multimeter, or frying your diode accidentally. Also while nearly all multimeters have wide and accurate voltage measurement ranges, many multimeters can't measure current over a wide range. Even expensive ones only go to 10A or so and require switching the cable between sockets; many cheaper ones top off at 200mA.