I have not used this particular camera before, however I do feel that there are a few ways to get around shooting inside with low light. You can either increase iso thus gaining grain to the photo. Buy a prime lens giving you a fixed zoom but with a larger aperture opening (which I recommend as you can get some great shallow depth of field or vice versa), play with the white balance until you get the right colours then shout your kids over, or by a flash gun/turn lights on/open window etc to fill the room with more light in order to get the shot that you are after or.. a mixture of all.
When I used to shoot gigs I wasn't allowed flash, so I had to bump the iso up, use the largest aperture on my prime lens which was !:6 then lower the shutter speed which was risky but the only way I could do it, and was basically a hit and hope, not that I didn't achieve some great shots.
This is my first post on here, so hopefully I have helped. Also, I find mirrors and light furniture a cheeky way to get some light.
All the best.