Hello again,
There is no single list of items you must obtain quotations for. (I presume by the way when you refer to 'health officer' you actually mean the Community Welfare Officer?).
The Community Welfare Officer has to assess each application for Exceptional Needs Payments on their individual merit. Everyone has different needs and different circumstances and what are considered 'essential items' can vary greatly from one person to another - depending on what you need for daily living. (Also, it may transpire that you already own a number of those essential items).
In thinking about your new home - what essential items do you require for daily living? Do you own a table and chairs? Beds? Cutlery? Plates? Curtains? List out all the essential items you require to live in your new home - not the 'nice to have' items, the actual things you require in order to live there.
Then obtain quotations for those essential items. Your Community Welfare Officer is not obliged to say yes to everything - as she said, you can ask for help to buy the essentials.
As an aside, there are a number of free trade/recycling websites around that offer many houshold items for free. (Basically, just people changing their appliances or trading up/down. I thik most of these items are available free of charge - so as someone who is starting out, you might check these sites out.
You can also place an a 'Wanted' item on the site setting out what you need. Here is just an example of one -
It might also be worth getting in touch with the Saint Vincent de Paul who may also be able to offer you and your family some assistance.
I hope this has been useful. (I have no affiliation by the way with DublinWaste.ie or any other free trade website).
Best of luck and congratulations on your new home.