They're right, you need lighting. Those little 45W and 75W "photography" bulbs are still pretty low powered as far as cameras are concerned. But it should be better than what you werer getting before. It depends on what kind of quality you're looking for, and how much you're willing to pay. You can easily spend thousands on lighting, but one of those cheap $100 kits can still work if your bar isn't too high (just don't get Cowboy Studio). You're shooting with an sx50, so I'm guessing you're not going for professional results.
What kind of video is it? What is the final format? Are you using editing software?
I'd do an Amazon search for "Continuous Lighting Kit", and grab one of those $100 jobs - if it's in the budget. It won't put out the 2000+ watts they claim, but you should be able to do some basic lighting. Keep in mind you get what you pay for, and this is on the lower end of what's available. So it won't be reliable, it won't be consistent, but it's a moderately cheap entry fee to learn a bit about lighting.
Also double check your settings. If you're at a high ISO then you're going to get noise. Period. Keep the ISO low and give it enough light to expose.
