Here are my recommendations:
1. Camping gear: tent, sleeping bags, gas stove, mess kit, first aid kit, hatchet. shovel, cutting tool, fire starting tool, rope, paracord, tarp. (should be what you need to bug out if necessary, but could also sustain you if you bug in without heat in your house). I would also have two packs that you and your wife could take it out on foot along with food and water as well as appropriate clothing and gear. (If you buy this stuff, just keep in mind that you might have to bug-out with it...so what can you reasonably carry?)
2. Gas grill with three to five extra tanks (propane space heater). This is not out of place in your rental house and extremely useful.
3. Generator and/or solar panel kit, deep cycle battery, and AC converter. extra batteries for flash lights, radios, etc. Keep at least two five gallon containers of gas in the garage and rotate them out every six months.
4. 50 Gallons of water (minimum unless you live by a water source and can purify it). The blue drums are great, but the 6 gal green plastic containers work well if they need to be moved once filled.
5. Food for 30 days that is rotated in your daily supply.
6. Hand gun for both you and your wife; a rifle; and a shotgun plus at least 1000 rounds of ammo. Holsters and slings to pack them out.
7. Solar power lighting, radios, etc. are extremely beneficial.
8. Waste disposal plan and equipment of some sort.