So, to get back on topic: we moved into our house at the beginning of the year and are slowly rebuilding our emergency fund, currently at 4 months' net income.
What remains for unplanned or rather unnecessary purchases and repairs, for vacations, dining out, and other discretionary expenses is about 25% of the net income at the moment. From that, reserves for a car in a few years can also be set aside again. Overall, that's not as great as when we were renting, but OK.
By the way, our mortgage payment is 30% of the net income, while the old cold rent was 21%.