How many people will be in the tent? If your family is large, the choices narrow down pretty quick.
We do a lot of family camping with Scouts etc, originally used a cabin-style tent and cursed it every time I had to set it up. We eventually got one of the large Coleman dome-style tents, it is a long rectangle shape kind of like 3 domes together. It has held up pretty good. Large, very comfortable inside, and plenty of big windows (very important in Texas heat).
Most of the tents are pretty similar, some of the most important differences are the type/quality of the poles, how far up the side the bottom is "tubbed", ease of putting on rainfly. For a family tent a good sturdy thickly-coated floor is important, nothing makes a wife angrier than waking up in a puddle that seeped into the tent. Spend a few bucks on a good air mattress or pad and you can be pretty comfortable in the tents. Many of the modern tents have good rainflys and a meshed roof panel, lets the hot air rise out at night and makes the tent tremendously more comfortable in summer heat.
As for stoves and lanterns, the standard Coleman stuff works pretty well. I have a dual fuel stove and lantern, they work OK but truthfully the propane lanterns and stoves are a lot easier to fool with, just more expensive to operate.
When you go to the camping stores, the guys will all want to sell you a lightweight down mummy bag suitable for backpacking, usually though on family campouts people are in their car or truck and it is well worth the effort to lug along a bigger sleeping bag. I like the old-fashioned rectangular types with cloth cover and flannel lining, in a big tent in summertime you can unzip the whole thing and just cover up with a sheet, or get zip two together for a little closer interaction with the wife. Some people prefer the nylon-cover sleeping bags but they do tend to skid around a lot, if you roll over in your sleep a lot they can be a pain in the rear.