The Honda gensets are VERY quiet, as are the Engel gensets(very similar).
The quality of power out of these would be much better than the cheapies, they will be much quieter and much more reliable. But the price is higher. Other benefit is, you can have power in a blackout too
However - you need to know the wattage, as the smallest Honda is effectively 700watts, then 1000, then 2000, etc.
If you were using lighting that say used 500watt halogen globes.... you need to match your power draw to equipment supplying very carefully.
I don't know camera lighting well enough without advice from you as to globe voltage and wattage specs to advise.
Also -- the fluro's, if 12volt can be run off a car battery or 12V SLA (sealed lead acid battery) no hassles.
If 240V they may work with an inverter depending on the type of ballast used. Some ballasts don't work well with the
modified sine wave that the cheap inverters produce.
You can spend more and get a true sine wave inverter, I am not sure if that will guarantee it works.
Also you need to consider the power surge to start an item. This website
http://www.mrinverter.com.au/about_inverters.htm
states that a 40watt Fluro, needs 400watts of power as a surge on startup.
(Please note I do not know anything about that business, they just have guides on Inverters that had relevant info - may be worth a read).
So you need to specify your gear to suit, and ideally be able to switch each fluro on individually, say a minute between each. Or else, instead of needing say a 600watt inverter (400 watt surge + 3*40w running = 520w) you would need 1600watts.
Complex area hey