"what do I do about having 2 applications"
If you decide to do it, then take the one that gives you the best interest rate or overall deal.
"We added sunporch to house, in addition to repairs, and consequently now have high balances on credit cards. We can pay them and our bills every month but have no cash left over. We are both Senior Citizens on Social Security and don't want to be in this position of having high monthly payments and then nothing left for anything else."
Let me make sure I understand this correctly. You plan is to take out the home equity line of credit to pay off your credit card bills and thus have smaller payments since the interest charges are less. Is this correct?
This is a sound idea if you don't let your credit card debt go up again. If you do, I think you're better off not taking the line of credit. The reason being that the line of credit is secured against your house. That means if for some reason you can't pay back the line of credit, they can take your house where the credit card is unsecured debt so they can't go after your house.
Here is an article that gives the
pros and cons of the home equity line of credit better than I can.