That’s just over 4K disposable a year. When it’s in monthly bite size amounts it can be easily flittered away and then something crops up (as always) and you don’t have that buffer. There’s also Christmas, birthdays etc. This is what I used to do when I was a single parent….
If you look at it at a yearly amount you could say right, I want 1k stashed away incase of emergency to avoid getting into debt and therefore reducing disposable income even more.
£500 for DC Christmas and birthday.
£500 for days out, little trip away for DC.
That leaves just over 2k. Split that over 12 months and use that as usual spends. The rest - divide over 12 months and put it away.
After a year of you haven’t had to use emergency fund then you could just leave it in an account and not add to it the following year - or as a lesser amount and have more for monthly spends.
It’s the only way I got by as although your disposable is a lot compared to some, I know how easy it is to for it to disappear and then being left on debt.