this is not a chat room, so it may take more than the 15min you waited for someone to respond with a good answer......anywho.....
if it's a standard 30/40a 12v relay, then it is perfectly fine to run up to 30 amps continuous, and that would take a couple trunk-full of led lights to do, and the amp should only be drawing about 200ma, so you are fine to run a whole bunch of stuff off the relay switched output, just as long as the 85 and 86 numbered terminals is only one to the head unit remote wire, and the other to ground, then the 30 and 87b(iirc, it's the "87" not in the middle) is the battery power and your switched output (polarity does not matter on either of these) also, if you ever do decide to go to a higher amperage, then doubble check the gauge wire ran from the battery with the awg stranded current ratings. you can google the chart for that. in other words- a typical head unit should not have the remote wire running too many things, general rule of thumb is 3 max, which could include a relay as 1, an amp, a switched cap, cross-over, or other equipment that draws about 200ma, or less. i could not get the current rating on those leds, but likely, they are drawing 1-2a per strip, so the relay is needed in order to protect the head unit, since on relay=200ma draw, but