You need to get external lighting. Needing to have " light for filming " is limiting yourself to certain models, which may not be great in other areas
Thing like that which your old camcorder had are not that common anymore and are non existent at the budget level
Ive had camcorder with it but never actually used it . As it happens Camcorders dont always have them ( even less so these days) and when they do they arent that great+ they kill the battery very quickly
LCD light simply means using LCDs rather than "proper bulbs" as light source. they are incresing ly popular due to low power consumption, very little heat dissipation ( efficient) and longer life
They cannot really replace decent light but where a little boost is needed they may just be the thing you need
You did say you didnt mind how much and now says £700 is too expensive


If you wantd a Tape model you wouldnt pay much less for the Hi def ones which are also good SD models but may have thing like video light
Evenif you went for a non tape model ( whichuses USB instead of firewire)
You would be looking at 450-700 and video light is not guaranteeed