Calculate your monthly expenses and decide how much you want to keep in your emergency fund.
Calculate how much you have to save every month over the next year or two.
Credit the amount into your emergency fund account automatically each month.
There are always ways to save. Look for discounts take the saved amount and put it towards your emergency fund.
If you get a refund on your taxes, set these aside as well. Don’t spend this on something else. It will be worth it.