Each time I get paid (every two weeks) I have my employer deposit the sum into the bills account, and I've set up a recurring transfer on the same day into the spending account. I essentially pay myself a portion of my paycheck. I allow myself to swipe my spending card for just about anything: gas, eating out, games, clothing, etc. But if I decide to use my bills card, that's a conscious choice. I know, right there in the moment, that I'm breaking my own rule.
It's kinda shocking how effective this was. Once I had enough of a mental barrier to make me aware of my spending habits, I suddenly felt like I was in control. Once I had a significant buffer built up in bills, and could start reliably skimming the extra into savings, all the financial stress also started to melt away. "It's okay. I've got a bit of a buffer if stuff goes wrong. I can do this."