when you say "then transmit" your talking about making a repeater? if so, just about any ir led should work. for most general applications, i dont think you will see a difference between an 850 or 940.
the series resistor would be calculated using the led's parameters and your supply voltage, same as any other led.
if i misunderstood, and you are just looking to detect, as the title says, any camera can do that much simpler.