We have a Palsonic 12v/240v LCD TV with inbuilt DVD player. It's not had a lot of use. For a fan/s I recommend the Sirocco Fan, https://www.whitworths.com.au/main_itemdetail.asp?cat=123&item=35794&intAbsolutePage= very low power draw, gimballed, and quiet. We have one but will soon have two (no point fighting over who gets the cooling air flow).
MHO is 12v is better than inverting, as inverting draws some power, and many devices, such as a phone charger for example, just convert 240v AC to 12v (or less) DC. Why use electrical energy to convert 12v DC to 240 v AC to then convert it back to 12 v DC?