My very limited knowledge about electric pressure cookers comes mostly from the book Hip Pressure Cooking. If nothing else, have a read of
this site which talks about the difference between electric and stovetop.
It sounds like an electric pressure cooker might be just the thing you need for your situation.
Stovetop or electric, a pressure cooker may help with some of the challenges you say. They both take less cooking time than conventional cooking, thus saving fuel and heat the house less. Being sealed up, they don't make as much steam as stove top cooking.
The biggest advantage I saw about the electric ones is that many are programmable. You don't have to hover around the pot while it heats up. I'm guessing the other advantage of the electric one is that it's just heating the inside of the cooker instead of both burner and pot and surrounding air. Add that to the extra insulation the electric ones have, and I imagine the efficiency is well worth it if it matches your cooking style.
The things I didn't like about the electric come mostly from my own prejudices. I like stove top cooking. I like fussing about my cooking and having absolute control over every stage of the meal. Basically I'm one of those kitchen control freeks - I know it. A stove top cooker, especially one with fast release, gives me that control. I can cook a bit, release the pressure, add more ingredients, cook more, stop, add... it's like a real pot, only I have to wait 8 minutes between adding new ingredients instead of 2 hours.
Electric pressure cookers - or so I've read, no actual
experience with this - take a lot longer to come up to pressure and longer to release the pressure, than stove top cookers. This can work to your advantage, but usually it means adapting the recipe timing to suit your cooker.
I've heard, but perhaps someone else can confirm or deny this, that electric pressure cookers cook at a lower pressure than (most) stovetops. This may lead to problems if you are using your cooker for canning too.
As for brand...? I have no idea, I discarded electric early in my pressure cooker hunt as it doesn't fit my cooking style. Can't wait to hear what others have to add on this.
If you do go for it, let us know what you choose and how it turns out.
Random thought: Any friends with an electric pressure cooker you can borrow and try out?