You have 5 years where you should be able to ttc without difficulty.
So make a plan towards that.
Get a second job and pay off your debts ASAP. Stop all non essential outgoings and put everything into the debt payments.
Go onto money saving expert for loads of advice.
Apply for a HA flat but be aware you may have a long wait.
You only need a one bed until a child is a toddler so you need to reign in your expectations.
Where is your dp in this?
Where does he live?
Does he have debt?
Do you share finances?
Have you ever lived together?
Do you have plans to marry?
Does he want dcs now?
You sound like you’re down about living at home after turning 30. This isn’t uncommon in the modern economy or in the past.
You will get through it- focus on what is good- health, job, relationship and that you aren’t in a hostel.