I just got myself one of those little Sony lights that works off my Sony batteries...you can either use it on a 10 watt or a 20 watt setting...its halogen and VERY bright....not up to the broadcast TV standardslol....but bright enough for anything we've used it for....they appear on Ebay now and again...but you can buy them from Amazon or other online retailers....but here's the deal....go direct to Sony...you'll get it cheaper...AND quicker than anyone else....
If you haven't got spare Sony NP batteries... it will work out expensive if you have to buy some....but again the NP970 can be got fairly cheap on Ebay.
Sony Link
Sony : HVL-20DW2 (HVL20DW2) : United Kingdom
sorry about that...it sells direct for £69 add on less than a fiver for postage.
Keeping your camera steady....now thats a different problem....as far as we've discovered...theres a few people on Ebay selling stabilisers...in fact theres a demo of one on youtube....they're not the most expensive things to buy....but they look a bit awkward to set up and balance...especially if you are in a rush. From memory the same Indian company also sell shoulder brace/mounts for your camera...that might relieve a bit of the strain for you.
If your shakes or movement isnt too bad...Adobe Encore CS3 has a "stabiliser/tracking preset that can be used to smooth out footage....we use a software solution called "Steadymove pro"....but its only a get out of jail card for those moments...when that 1 bit of footage is all we've got.....so it has to be used.....