Going round Aus next year need advice setup with Solar panel ...

The easiest way to connect it is to connect it to your starting battery.

Assuming the battery has been isolated, it will be pretty well charged and voltage will rise over the cut in point of the Redarc pretty quickly and charge it.

Or you could connect directly to the second battery. If your two batteries are still connected , this will also charge the starting battery but if not it will not.

I have a 300 watt pure sine wave inverter to charge my laptop. I had a bad experience with a 12 volt laptop charger which although rated for more amps than the laptop took, it burnt out and damaged the internal laptop power supply.

I don't personally like cig plugs as they can fall out. Either small Anderson plugs or Merit/Hella plugs are much better.
I recommend that if the panels are like most that you double the length of the cables and buy quality 8 gauge cables to minimise losses. This will allow you to leave the panels in the sun for a much longer period than with the usual 5 metre cables, without running around repositioning them all the time, if you are around trees.
Regards Philip A

If the redarc is a bcdc, I'd recommend removing the solar controller and plugging the panel straight into it. It will do the rest.

I'm no expert on this stuff but would report that I've heard users say the output from those flexible panels is well below equivalent glass units. So do some testing before you design the rest of the system.