I am no expert, but Flash Photography is as nuanced and difficult to learn as how to take award winning photographs of birds in flight. The necessary equipment can be as expensive and technical as the cameras and exotic lenses many on this Site use. I agree with all the comments posted here and the advice is solid for trying to mitigate the relatively poor results from using 'on camera flashes', particularly with TTL ( through the lens metering).
Decent results with lots of reading, studying and practicing can be obtained with multi flash strobes using diffusers or umbrellas off camera to spread out the light and using ratios of fixed light output. Flash meters are nice, but again a big learning curve and with Digital cameras not really necessary because we can review are results on the rear display.
One problem, not mentioned so far, is that with TTL flash, the pre-flash which determines the amount of flash duration for proper exposure, for sensitive people will cause their eyes to close ( if they are sensitive to light ) and ruin the resulting photograph, or else get the dreaded 'red-eye' where the pupils stay open because of the relatively dark ambient light.
The above observations are only representative of the 'tip of the iceberg' considerations for using flash photography and dozens or hundreds of books have been written on how to do it right by people much more qualified than I. Joel Klein probably gave the best advice so far, open up the window coverings letting in as much outside light if during the daytime and perhaps place stronger fixed lighting from regular home light fixtures which spread and bounce the light around the room in all 360 degrees.
Other than that, using fast glass as open as possible for required depth of field and higher ISO with NR software, shooting RAW will give probably more satisfactory results on 8" x 10" prints than using any 'on camera flash system'.
Personally, I have several Godox off camera small flash strobes (AD 200 Pro), various umbrellas and with proper placement and fixed power settings ( not TTL ), I can get decent results with my limited knowledge. However, setting up takes up space, planning and certainly takes away any spontaneity from the occasion as well as any mobility from room to room. I am not referring to formal portrait type setups, but just trying to get decent around the room, even lighting for candid shooting. Worked well for me when the grandkids were little, not so much now as older teens.
Just my two cents worth, and probably just embellishing on Joel's answer which again will most likely give the best results under the circumstances of equipment and knowledge.