If this was me in the same situation...
Cancel cable. That should be a no-brainer.
Surrender one of the cars or sell if you can get more than you own on the loan.
Pay to break the cell phone contract (sounds like you both have "smart" phones with a data plan? Get out of that ASAP) Check the fee to break and it is probably less than a few months' payments.) and cancel them both and get $20 prepaid basic phones (although I would technically only get one phone - people did live just fine without cell phones once upon a time, but if you have no other way of contact, at least one is necessary for the person that doesn't have access to a phone through work or coworkers or neighbors)
What is "furniture payments?"
Can you surrender the furniture to stop paying on that crap?
You can always replace most
necessary things with stuff from thrift stores - won't be fancy, but it will get you through for a whole lot less.
Sell everything possible that could to bring in some extra money.
Both people get an extra job working nights or weekends in a grocery or whatever - SOMETHING that brings in more money.
Cut the expenses to the bone. The electric and food are both high for only 2 people.
You don't mention car insurance, but do have life insurance? I'm confused on that one.
I would seriously consider selling the house if it's possible to pay off the mortgage and find an efficiency apartment somewhere that is MUCH less than your mortgage payment. Don't know what the home sales or the rental are like in your area, but this is something else to get info on ASAP, since owning a house comes with quite a few money traps (repairs/maintenance) that you will not be able to keep up with until you dig out of this hole of debt.
Or get a room mate or two if possible.
Depending on the interest rates on the credit cards, you might also look into getting a loan from someplace like the Lending Club to consolidate at a lower interest rate:
https://www.lendingclub.com/landing/partner.action?partnerID=80019¶m2=GzB001zA002z1zDzg&gclid=CM6S2fGaqLkCFU1k7Aod4UsAMQI'm not sure how you accumulated that much debt, but it's pretty obvious that you had no cushion for things like losing your job or emergencies, and were living WAY over your means like someone else already mentioned. You definitely could try to declare bankruptcy, but the situation is not completely in the toilet if you and your partner are willing to REALLY get serious about doing every last thing you can to get out of this.
The problem with declaring bankruptcy is that while it might get you some temporary relief, you'll have trashed your credit, and still be trying to live the same lifestyle that got you into this. I know that losing a job or an injury that sidelines someone isn't something that you expected, but you both need to seriously think why both of those instances were so catastrophic and make sure that you adjust your lifestyle going forward - make plans, save and be willing to sacrifice - to make sure you never end up back in this situation ever again.
And I say this as someone that was unemployed for around 6 months at one point during my career. I know this is all pretty scary and you probably are feeling angry, depressed and sometimes hopeless... but you can do this. You just have to commit to going all in on it. Good luck.