Mom of 2 under 2 struggling to stay consistent

I had 2 babies 21 months apart over 50 years ago. Your story still hits me hard. Been there, done that. Lived through it. You will too. Take care of yourself first so you can take care of them. Eat healthy.
Wishing you the very best!

I agree with @ddsb1111 that it's great to have weight goals, but more important to set goals around the actions that will get you to that goal weight. One thing I've learned is that I do not have a whole lot of control over what the scale reads from day to day, or even week to week, but by being consistent in my healthy habits I can definitely impact the month to month weight. So I put the majority of my focus on the day to day health goals and trust that the weight loss will follow.

Here are a few goals that might be helpful in your journey:
-Sleep. I know this is a really hard one for where you're at with two kids under two, but trust me when I say that it's a great idea to make sleep a priority. It's a million times harder to eat mindfully when your body is screaming for an energy source because you're so sleep deprived. And its hard to make good food choices when you're in a brain fog. So don't feel guilty for grabbing a nap rather than going to the gym. The nap may help more in the long term.
-Exercise. Walking is a great exercise, especially outdoors. And it's likely something you can do with your kiddos while they are awake. I was a working mom, so I did my walks on my lunch time, but either works. Weather can make outdoor walks more difficult at times, so it's also good to have a local mall you can walk at, or have some indoor workouts that you can fall back on. Just remember that you don't have to walk for an hour a day to get the benefit. Start where you're at in terms of intensity and duration and work your way to the recommended 150 minutes of moderate exercise per week, or whatever you feel is a good lifestyle goal.
-Calorie tracking. Routine and meal prepping can be helpful here. I keep my kitchen scale on the counter and meal plan a rotation of meals that I have logged in MFP. I had to break the habit of snacking off my toddler's plate. I also found it helpful to figure out what foods kept me satisfied and energized, but overall I consider it a win if I have tracked my food intake honestly and as accurately as I can, even if the number isn't what I aimed for.
-Calorie deficit. With the rule of thumb that you can target 0.5-1% of your body weight loss per week, you could technically aim for 2 lbs/week, but I would advise against that since you're body is still recovering. If you're breastfeeding, even more reason to moderate your weight loss goal and protect your milk supply. A 500 calorie/day deficit is probably a good place to start and I personally give myself a +/- 250 calorie range around that.
-Start to make friends with the body you're in. I can 100% relate to the feeling of not being comfortable in the body I'm living in. I would even use the word "disgusted" to describe my feelings about my body at times. What I have learned is that those feelings are not helpful. I've been on this latest weight loss journey for 10 months and have lost 65+ lbs and I can tell you that my body still doesn't fully reflect how I see myself. It probably never will, since I've now got kids older than you. A gift you can give yourself and pass on to your children is to appreciate your body where it's at rather than waiting for that elusive day when it looks the way you want it to look. I am getting to the point of starting to experience some "thin privilege" but I can tell you that I am not a better person than I was 10 months ago, nor am I any more worthy of love and respect. I think that perspective has been tremendously helpful in maintaining mental health as I work on improving my physical health.