Great question — answering as the UphillTech team:
It sounds like you are right at the current limit for your power strips and your remote control switches. If you look at the plugs of the lights, you should see a rating that says how many Amps it uses. Add all of those up, and make sure you're not exceeding 80% of the rating on your power strip or your remote control switch. So if your power strip says 15 Amps, then make sure your lights don't add up to more than 12 Amps.
Full answer by longneck: https://diy.stackexchange.com/a/53416 (CC BY-SA 3.0).
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