If your looking for a camera to take great pictures of the inside of a house for a listing, what you want is a 24MM lens. And of course a zoom to at least 80MM. That is fine for pictures inside any house. You can look at cameras with that type of lens or better. All digital cameras are light. Most of the inside a a few computer type chips. Most are plastic or aluminum bodies. When I purchased a camera I looked on eBay, but got frustrated on the bidding pages. I prefer Amazon now who stresses great reviews and ratings. The majority of weight is in the battery. Which is one of the lost important features. Say you drive 30 minutes to take pics of a new listing. What do you do after 12 pictures and they battery dies? Most smaller cameras come with special batteries that start at $15 for a spare. Then you have to remember to bring the spare battery. I prefer bridge cameras which are larger and styled after 35MM cameras. They also feature zoom lessons to 300MM and more. Great for wildlife pictures. When I chose my last camera I decided to go with a Fuji based on the fact it uses AA batteries. It only happened once, but the batteries died. I ran to the store and bought a pack of AA batteries and finished the job. I keep an extra set in the car now.
I prefer rechargeable AA batteries. The best I've found are made by Panasonic. They are about $2 a battery and about $15 for the charger. They will charge on any AA charger, but their charger is some how computerized and charges at a rate to extend battery life rated at 1500 charges. Over all the cost of rechargeable batteries is less expensive than non-rechargeable. But buy good batteries. I have all kinds. The cheap ones don't last and may not charge when you receive them. Batteries seem to last in relationship to their cost. Some I've had to over 5 years, but their charge life is reduced to maybe 2 weeks and less than 100 pictures. A new set of batteries lasts 2 months in the camera, and about 200 pictures. Most batteries discharge over time just sitting around. That's another reason to go with the Panasonic with the best shelf life of over a year... so their rating says.
If you do go with a smaller camera with a specially designed battery, your at the mercy of their design. There is no way to find the rating or life of the batteries they choose to use. Your stuck with that battery. Although most will give you about 1-2 months shelf life and 100-200 pictures. That depends on how much zooming you do. There is one thing about cameras. They all shut down when the battery power drops to about 1.0-1.1 volt no matter what battery is in them.