Need some help/advice

Hello, my name is Ken. I’m a husband and father to 2 children. I am 37, 6’ and I fluctuate between 285 and 305lbs. I have wanted to regain control of my health and weight for about 10 years. I read articles, watch videos, buy gym memberships(go occasionally) and give half assed attempts at eating right. My problem is my job and it’s “schedule”. I am a Locomotive Engineer. I am on call 24/7, I live 1 hour from work and I get a 2 hour notice to show up. When I am off I typically have 12 hours off, minus my 2hrs of driving that leaves me 10hrs to spend time with my family and with my wife, perform household duties, attempt to attend kids activities if time of day permits, get myself ready for my next shift, try to workout, try to meal prep and try to sleep. My time off is completely random as well, could be 8am-8pm, midnight-noon or any other 12period between. Often missing my family all together if they’re at school and work. I usually need to forego sleep in order to keep up with the rest of my responsibilities. When I do go to work I am usually gone between 36-48hrs. I know there are 3 basic needs for a healthy lifestyle; sleep, nutrition and exercise. I know I could find time in there to workout and prep healthy meals, but that would mean less sleep than I already get. I would love to have a workout partner, but I can’t because I could never have a schedule that would work with anyone else’s schedule.
I am really struggling trying to find a balance when I have zero sense of normalcy. Any advice would be appreciated. Here is a screenshot of last weeks sleep pattern. The 2 missing Monday’s and missing Saturday aren’t an error, I didn’t sleep those days and Thursday was broken because I needed to get the kids up and to school.