Majority of household wiring is 120V/15A in the USA. Outlets that look like:
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(two flat blades of the plug and holes in the outlet are parallel) are 15A/120V outlets.
Outlets that look like:
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(one hole in the outlet has a sideways-T shaped hole, plug has one blade vertical, one horizontal) are 20A/120V outlets. Each amperage and voltage has its own shape, assuming the outlets are installed in accordance with NEC code.
Lights are rated in wattage, given that your outlets are 120V, you can calculate how much amperage the lamp will draw by using:
Watts/Volts = Amps
a 1000W lamp consumes:
1000W/120V = 8.33A
If you try to exceed the amount of current (measured in Amps) that an outlet can supply, you got a problem. Properly done electrical work will be fused, and so you'll blow a fuse or trip a breaker. You have to account for everything that is drawing power off that circuit (note the word "circuit", not "outlet"). For example, in the room I'm in, there are at total of 3 outlets. But they are all actually all part of the same 15A/120V circuit, so if I plug a 1000W lamp into one outlet, and a 2nd 1000W lamp into another outlet...now I've got an attempt to draw 16.66A total, and the circuit breaker for my room just tripped. On location, it's good to have someone around that might know what outlets are part of what circuit...that, or access to the breakers/fuses, just in case =)
The simplest way to think of it is that for each "free' 15A circuit, you can safely plug in any combination of lamps that totals less than 1800W:
Examples:
1 x 1000W lamp OR
2 x 650W lamps OR
5 x 300W lamps OR
1 x 1000W and 1 x 650W lamp ... etc
assuming there isn't anything else significant attached to the same circuit.
As far as extension cords/wires/cables/stingers go, they have a capacity as well. Cables are measured by diameter of the conducting wire, which is measured in "gauge" aka AWG. Wire isn't perfect, there is some loss of power when you send current through it (you loose so much per foot). So size (gauge) of wire you need to carry the current for your lamps depends on how much Wattage you have on the end of the cable, and how long the cable (plus the length of the lamp's cable) you need to run. 14 gauge cable is fine for extension cords up to 25ft, 12 gauge cable is fine for cords up to 50ft. That leaves plenty of margin for the lamp's cable, and you can draw up to 15 Amps through the cable without worry.