IVAs are being heavily publicised by a lot of companies, and sometimes people are persuaded to enter into them when an alternative solution would be better. In most cases, there is no point in an IVA unless you own a house (which could be lost if you go bankrupt) or are in a job which would be forfeit by bankruptcy. In many cases bankruptcy is a better option, or (depending on the financial circumstances) a debt management plan.
You need independent free advice - do not go to any of the fee charging companies. Go to the local CAB, or phone CCCS or Payplan.
Your priorities should be to have enough money to maintain a reasonable economical lifestyle and to pay the essential household bills (rent or mortgage, council tax, utilities etc.). Paying ordinary commercial non-secured creditors comes after that.
Any solution is likely to have adverse implications for your partner's credit rating - and for yours if you have any joint finances, but this is something you will have to live with if you are to get out of the problem.