[Tonz]

clarification, I wont need this every day, only when we haul this trailer to market days.

this from another forum....
this guy hooked up some LED strips to his Dewalt stuff but should be plenty of options if you run another brand, there are also plenty of 3d printed adapters to use different brand batteries with other tools
if you have your heart set on those specific lights can you can always buy a 18v battery to 12v cig lighter, though not cheap ($70)
Makita 18v Battery Adapter With 12v Lighter Socket - Etsy Australia

Here is an example of a battery box with various options to connect with Battery Box with Voltmeter and Dual USB Charger and Dual High Current Plugs | Jaycar Electronics
Most AGM batteries are designed as deep cycle batteries to power appliances etc. The rule of thumb is you should only consume 50% of their stated capacity before recharging. Wheras a car cranking battery is designed for a high load in short bursts only. For what you are wanting to do it would do the job if you got one of these at the right orice.