Sorry to read this. Presume you are the only member of family close to them. My family are all 'scattered' over 3 + hours away. Only my sister is v. local to my Mother. Rest of family are actually looking into various nursing homes. My Mother won't be entitled to financial help, so it will mean having to sell her house!
It's my sister, like you, is utterly exhausted, both emotionally & physically & getting little time to herself.
I've 'fought' a little to get my brother 'on board' which he now is! My daughter age 32 is also pretty 'forceful', very realistic, tactful, & is going at Easter to try talk to my sis. plus see more for herself my Mother's recent, v. rapid, decline!
Have you contacted your local Age UK?! They should be good at sign-posting you in right direction; some have handyman services etc. plus advice about Social Services. I used to work 'in this field' - with 2 Age Concerns in West UK, but things have changed immensely.
You really need a Social Services Assessment - a 'full one', unlike the case when I requested a re-assessment & then all they did was send OTs to 'look at my mother's bath & seat'!!
You should be able to find your local Soc. Services website, TRY calling them (took me ages to get through!) Did write a concise - ideally not too long - but listing all the what we used to call the 'presenting issues' under a heading: what he & she in your case CAN'T do; how they are feeling.
We are not ready ourselves to actually suggest to our Mother that she go into a home - needs a Nursing Home, as opposed to a Care Home.
If you're more comfortable this way, suggest to speak to your local Age UK first. There is some help 'out there', depending on where you live. You could also find it useful to attend (when you can) or get advice/support from any local Carers' Support groups.
Again, if this all quicker for you, get hold of your local Age UK. (they are all autonomous from each other - under Age UK England & some offer/have more funding than others; yet they are excellent as 'first port of call'!)
In my past work, I was v. dedicated but obviously more 'detached' from it, but acknowledge it is more difficult when dealing with 'one of your own'! Why not try Age UK first & they can hopefully help you 'see the wood from the trees', so to speak?. It may be that in your area there is more help available ... within their own home.... yet the 'time could have come'.... so difficult!
Our difficulty is firstly suggesting to my SISTER doing all the caring as almost 'martyring' herself which no-one should do! Then ... next.. my Mother... who is in fact deteriorating so v. quickly (they haven't even got her into the 'Memory Clinic' till mid April!) and she does now, even in her own home, get confused as to where she is! In our situation, she wld. be devastated to be without her gentle little dog; hence we are additionally searching for 'pet friendly' homes - in addition to the quality of care they cld./do provide. That's another 'minefield' I'm afraid - so much research needing to be done. Here again your local Age UK can either help online - or you call them about 'how to find suitable Care Home for parents'; 'what to look for, what questions to ask'! Wish you the best of luck & empathise with what you are going through! Pls. don't hesitate to get some 'HELP'! It IS there! Kind regards,