Boy can I relate. Sounds like the most obvious answer, a home equity loan, is not the one for you. You would have to be paying for or paid for your home. If you could get this type of loan, you would ask for enough to pay off your bills including your mortgage, then use the money to pay off your other debts and keep the mortgage going. You would have to watch the interest rate so you don't refinance for a higher rate.
If you can't do that...here is something you can try.
Gather all your bills including loans, household, and projected incidentals, and break them down: debts and ongoing expenses. For your debts, make two lists.
One would be in order of balance due, low to high, and the other in order of interest rate, high to low. You might also check bills that are especially nagging you and need to be picked off. Note beside each creditor if there is a minimum payment and whether it is a long term or short term loan.
The second list would be ongoing expenses and is further broken down as FIXED (trash service, insurance premiums, etc) and FLEXIBLE (light bill, groceries and ugh..gas).
OK. So what you do is look at all your bills. Try to make reasonable but the very most frugal of all your flexible expenses. This might be the time to cut off the cable, cancel your newspaper, and watch your phone bill, etc, as well as cutting coupons for food and such. This frees up as much as you can spare for debt. You might consider cutting back on your savings account until your debt is down...no sense money sitting in the bank drawing a little when it could be spent to save you a lot.
Once your ongoing bills are budgeted, you know how much you can apply to debt...it will be a single amount that you can split any number of ways and this is when your lists come in handy. Put your final list of debts in the order of your choosing to get them out of the way in a reasonable manner.
The plan goes into effect by paying minimums on all but the smallest balance, shortest term, or highest interest rate account and picking them off aggressively one at a time. That one gets ALLLLLL the leftover debt money. Personally if it was me, I would start slamming all that money on the smallest balances...picking off smallest bills and clearing up with different creditors, then start addressing higher interest rates. The last debts you pay off will obviously be the ones that you would have for a while anyway...mortgage, student loans, and car payments, etc but after the small bills are paid off, these aren't so hard to pay.