"...in avoiding all of your hone being used" [my emphasis]
No, in one case it is a move to put the entire house into a trust, in the other case you are simply splitting the house between the two of you so that you each own 50% each.
There are two very different things being talked about here.
In the first case, some people have been advised to put their home into a trust while they're still alive and carry on living there. There may perhaps be other reasons why this might be beneficial in a particular case but it won't be anything to do with care home fees.
Some local authorities may accept that the house has legitimately been put into a trust but they may equally decide that you have deliberately deprived yourself of assets and treat you as though you still owned the house. It seems to be pretty much a coin toss as to whether this will work.
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In contrast, the other thing that people are talking about is where you change the ownership of your home so that you own 50% each.
Most homes are owned by a couple as "joint tenants". This is where you both jointly own the whole house (just like a joint bank account). So, when one of you passes away the house automatically goes to the surviving spouse.
If you own the house as joint tenants then the house automatically passes to the surviving spouse regardless of what any will might say.
So, if your DH were to pass away first then you would get everything and it would be quite open to you to get involved with a younger gigolo and then leave everything to your young lover (or the local cat's home charity etc) when you eventually pass away so that your children get nothing.
I'm sure that you wouldn't do anything like that but you do read stories on MN about that happening.
Likewise, you could pass away first and then your DH remarries and leaves everything to his new wife. Again, plenty of stories on MN about this as well.
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The other way to own a home is as "tenants in common". In this situation you each own a separate 50% of the home and you can leave your own 50% to whoever you like. In this situation it is usual for each spouse to leave their 50% to their children (but you can leave it to whoever you like).
So, if your DH were to pass away first, then you could still give your 50% of the house to your gigolo but you couldn't give your DH's half of the house to him. Likewise if you were to pass away first then it would protect 50% of the house going to any new wife.
In the same way that 50% of the house is protected from any gigolo or fancy woman (or cat's home charity) like this it is also protected from being taken for care fees.
OK, so where does the trust come in?
This is largely to protect the surviving spouse from being turned out of the home.
There is nothing at all to stop you leaving your 50% directly to your children. Assuming that they're over the age of 18 then your share of the house passes directly to them in your will.
This means that they own 50% of the house and your surviving DH owns the other 50%.
They can then get a court order to force the sale of the house and turn your DH out. (or vice versa if you're the surviving spouse).
The trust stops this from happening. It says that the surviving spouse has the right to continue living in the house until his death (or other event mentioned in the will eg remarriage). This stops them being kicked out of the house by the children.