Directly wire inverter to switches/lights/etc
The small low power inverters (you only need 50 Watts or so) that are usually designed to plug into a lighter outlet in a car are intended for temporary use with portable appliances - like lights or computers - so they are supplied with normal outlets.

To get an inverter intended for permanent installation, with hard-wired output terminals, you would have to go up to a 2000 Watt or larger unit.

For your application, it would be perfectly OK to wire your lights to a plug that you could plug into a small inverter.  However, you might want to look for 12 volt lights as intended for use in boats and RVs - You could connect these directly to the battery, without needing an inverter. Doing this would be more efficient than using your 120 volt lights run through an inverter.

The 1000 watt inverter you linked to would be severe overkill for your application - with your 30 watt load, you may waste that much power just keeping the inverter running.