Just to add my bit and maybe help a little.
Every time you convert from one voltage to another there is a conversion loss incurred so if the TV is able to run directly from 12v then this is the best option you have.
An average 12v LCD wants about 2-3 Amps of power so take a look at the capacity of your battery assuming a 110Amp leisure battery and this is more than capable of giving you what you want as each hour of use you will only be taking 2 - 3 Amps.
If however you use an inverter to give you 240V from your 12v battery and then have an inline power supply (similar to a laptop) which redusec this down to normally 12v for the TV you have 2 X power conversions and thus 2 lots of loss.
If your TV is not 12v then consider changing it as you may find it cheaper in the long run than messing about with inverters, heavy cable and fuses to supply them etc etc.
Remeber finally though that all the above is only as good as your Battery and if thats not up to the job then whichever you choose will be dissapointing.
Hope this helps
Best regards
Ian
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