How it worked for us, there was never any money to send over. I paid for everything on a credit card that was in Dh's name and I was an affiliated card holder.
All bills were paid automatically on direct debit, anything food wise, shoes for the children, days out etc was paid for on the credit card as we earned rewards with it. We had a joint bank account that I had full access too. I had my hair cut and coloured every 6 weeks, bought clothing for myself because I am a grown woman and did not feel guilty about this. I managed the finances.
Gently, as an unmarried woman who is financially dependent on a man you are in a very precarious position. I would suggest you get married, that doesn't mean a wedding, it can mean a registry office where the legal paperwork is done.
Have you got a pension? He is building his pension pot and you have no entitlement to it should anything happen and your relationship breaks down. You are not paying toward the house either so again, this puts you at risk.
Also do you see his tax return every year so you know how much he is earning? This is why joint accounts are a good idea as someone on PAYE you would see their salary going in every month. For business owners it is all in the business account and this is much easier to hide money. This is why financial transparency is a good thing.
Do you own the house as tenants in common or joint tenants? Does he have a will leaving everything to you? This can be changed so easily and why marriage protects you.
@MostArdently love the username, I became a sahm because I could no longer work due to poor health but could be home for the children. I think people tend to think it is black and white with the whole just go and work and don't rely upon a man to provide for you. 
Some of us have no choice like you and although our circumstances are different it worked brilliantly for us and the children are now adults. Dh and I are still together after 30 years happier than ever.