An ordinary car battery is a 'cranking' or 'starter' battery, and is designed to deliver a few hundred amps for a few seconds at a time, then to be re-charged quickly and kept fully charged most of the time.
A 'leisure' battery is a deep-cycle battery, designed to deliver low-ish currents (usually 5-10 amps or so) for hours at a time, and then to be re-charged over several hours to bring them back up to full charge again. If a leisure battery is used to supply a 230v inverter it might have to supply a couple of hundred amps for several minutes at a time, which really hammers the battery and the 12v cables and connections.
I don't know anything about wfp equipment but I would guess it needs a fairly low current at 12v for extended periods, so the deep-cycle battery would be best for it.
A lead battery shouldn't be discharged below about 50% of its capacity, so you need to work out the amp-hours it will have to deliver in a day, and get one or more batteries with a combined amp-hour rating of at least twice that figure.
I recommend you look up the battery specs on manufacturers' web sites to decide what you want, then shop around for the best prices for your chosen battery from specialist battery suppliers. The leisure batteries sold at caravan shops and boat chandlers are usually (in my experience) not up to the task of daily deep cycling. The ones from Halfords last well.
I think both types are available as sealed lead-acid and as gel, but I've only ever used ordinary lead-acid with removable stoppers for maintenance.