Depending on the lighting in each room you will most likely need the tripod and a pretty long exposure. Maybe even try some HDR shots to really get all the light you can.
Hopefully your not shooting in auto so try to get a large aperture like f/16 - f/22 to get everything you can in focus. These will require a pretty long exposure time.
I'll have to disagree on the aperture. Shooting at the low end of the focal length range gives you amazing depth-of-field even with relatively large apertures. Using too high an aperture can kill fine detail due to diffraction. The trick to shooting interiors in the daytime, is to have the interior light more or less equal to the outside light (so the windows are not blown out), and that means careful placement of your light sources. As well, depending on the light sources, you can get objectionable WB colour differences if you mix outside light with inside light. If you are using flashes to illuminate the area, then you have to think about reflective things in the room that can bounce back direct flash as objectionable glare, and if you're using bounce flash, then you have to check for the colour of the surface you're bouncing the light off. It's tricky. It makes portrait lighting look simple by comparision.
I'm no pro but if you aperture is at say f/4, you will have a shallower DOF than at f/16. Is that right or wrong? (crap sorry to thread jack)
Using the DOF calculator (see here:
Online Depth of Field Calculator), you get the following:
T3i, 10mm, f/4: The hyperfocal distance is 4.35 ft., and if you focus at that point, everything from 2.2 ft. to infinity will be in focus. At f/16, 10mm, the hyperfocal distance is 1.11 ft., so that everything between 0.71 ft. to infinity is in focus. For most interior shots, the closest item will be more than 3 ft. away, so you have more than adquate DOF even at f/4 to get everything sharp.
Same camera, 22mm, f/4: Now the hyperfocal distance is 21 ft.If you focus at a point 10 ft. away, your DOF is between 6.8ft to 19.1 ft. At f/16, the hyperfocal distance is 5.3 ft., and if you focus at that point, everything between 2.7 ft. to infinity will be in focus.
This shows that it is very important to know the DOF associated with the focal length, and to use this knowledge intelligently when deciding which aperture to use. The aperture selection is also governed by trying to balance the exterior ambient light with the interior lights. Let's assume the outside light level is mid-day bright, and therefore the f/16 rule applies (which says that using ISO 100, at f/16 the shutter speed should be 1/100). Let's also say your flash sync speed is 1/200. Let's say that you want the outside to be rendered "normally", ie, not too dim or too bright. So your aperture will need to be f/11 at 1/200 sec. You already know that you have more than adequate DOF from our calculation above, so now you concentrate on adjusting the flash power to give you a proper exposure at f/11. That's how these kind of things get figured out.