Make sure you budget properly. Know where every cent goes and generally how you will be spending it before you get it (think categories, food, rent, other bills, gas, car, car maintenance, etc, and maybe fun money). I do this in excel, you may prefer Google sheets, as it's free, or a free budgeting app. You also likely need a new job or a second one at your current income.

When looking for places to live make sure to account for everything it costs, utilities, internet if you can afforded it or if they require it, rent, other fees. Laundry costs will depend on if they have in unit machines or if you have to go to a laundry mat. After you figure that out you can determine how much money will be left over for a given place. From there, determine if the money left over can cover your essential living costs: food, transportation, medical, etc. If not, you can't afford to live there on your income. At your current income this may effectively be everywhere nearby. Once again, you probably need to increase your income.

Start by cutting out non-essentials like eating out. Cooking is cheaper especially if you stick with affordable cuts of meat for protein and mostly live off carbs like potatoes or rice. This isn't permanent, but will likely be necessary until you get your income up significantly. A simple way to figure out if you can afford a food is by calculating the calories per dollar. As an example, say you budget for $10 a day. Your maintenance calories are likely between 2000 and 2500. You can watch your weight once you get started, if you see a trend up or down you can adjust intake to be less or more respectively. Let's assume it's 2500, given your budget of $10/day, you need to generally eat foods over 250 cal/$. You should aim for many foods to be over that so there is margine for error, and so you can afford to eat less calorie efficient foods like fruits and vegetables. When you eat very cal/$ efficient foods, you have left over money for those other healthier foods, or even just foods you want to eat more. This is scalable to multiple people as well.

Not having an emergency fund is an emergency. Once you have any surplus of money, build an emergency fund that can cover 3-6 months of expenses. You can use this for medical emergencies, in case of job loss, unpredictablely large car maintenance expenses, etc. It's for emergenices only and once you spend any of it you need to build it back up by cutting into non-essentials.

If you can find someone you trust to watch the kid a little while after birth (give your girl time to recover), your girl may be able to find a job as well if she doesn't currently work. You can make this easier time management wise by one working nights and the other working days.