We're being evicted in November (received our six months notice this month) and it's simply because the landlord wants to move back in
No idea what we'll do
Your LL isn't being unreasonable to move back into their own house OP. Many LL’s rent their only owned property out because they suddenly have to relocate for work...etc they are much more entitled to live in their property than you are. When you rent a property you aren’t entitled to stay there as long as you like. You rent on a contract, it’s only ever a temporary home for you.
Private rent in our area is more expensive than having a mortgage but we don't have the deposit money. Have tried the council and despite having 3 children (one who is under a year and one with additional needs) we are always about number 100+on the list
I’m afraid you simply aren’t entitled to live in an area you can’t afford. Sure you can list an endless string of reasons ‘jobs/family/kids/health issues...etc’ but it doesn’t change a thing! It’s the same for everyone renters and owners alike, many home owners (myself included) have had to compromise on area in order to actually afford property.
Lots of people are in the same boat
The answer is to stop landlords charging so much
A lot of buy to let mortgages stipulate you have to rent the property out at a specific amount for example 1.5x your mortgage amount. Others may be renting their only owned property whilst they rent elsewhere so need to maximise rental income. For many LL’s there’s a massive risk involved with renting in this economy/market and risking being stuck with tenants who don’t pay but can’t be evicted which is also hiking up prices. Being a LL isn’t fun or a charitable endeavour so will only ever be done by private people for either their own necessity or profit.
or even better only let people have one house
I think this would be a fab idea for all the professional couples currently sat on a small deposit with a decent income and would actually be able to buy the property’s made available. It would slightly reduce prices or at least increase property’s coming to market.
Wouldn’t help all those struggling families on low income/UC with several kids, no deposit and nothing left at the end of the month though would it? How would they get a deposit or mortgage and what happens to them once a young couple with no dependants and middle income has bought the house they live in from their LL?
Forcing LL’s to sell multiple properties won’t make those properties free or achievable for many and then there will be nothing on the rental market so those struggling will be entirely dependant on the council who will still be massively oversubscribed 
Rent is so stupidly high that it will reach a point where no one will be able to afford to rent
Maybe but from what I’m seeing there’s basically nothing available to rent in our entire county and what does come up is taken immediately.