Boyfriend rant/need advice

So my boyfriend has always had things handed to him in life. His dad bought his cars, paid for no bills, had all the nice electronics and clothes ect. He never paid a bill until him and I moved in together. Even then his dad graciously dropped money for the down payment, first month and pet deposit. Any way, June we moved again to a new city. He had been unemployed since March. He found a job at the end of July and I started one this last Wednesday. A month ago I found out he cheated on me. I don’t have anywhere else to go since I have no money saved or anything. No family I could stay at either. We ended up wanting to work things out. I told him things would have to change and he’d have to start helping out around the house and stuff. Since then he’s only ever taken the trash out maybe three times cause I asked him too. He doesn’t help cook, he doesn’t clean, he gets off work and undresses throughout the house. His shirt there, pants in the other room, socks ten feet apart.

I know this is getting long, I’m sorry.

He’s always gotten drunk and will tell me he wants to better himself. Start working out, meal prepping, helping me around the house. He’ll say “I always mean to, but when it comes time I just really don’t want to.”

He has always said he wants to marry me and have kids, I’ve told him I wasn’t going to until I lost weight. I’m working on it, but I need his motivation. After the cheating thing, he still says he wants a kid but says he might want to get married in two years or so.

On our last grocery run we stocked up in order to start meal prepping. We bought an abundance of fruits and veggies. He said he’d help but not with the raw meats. Which I didn’t mind at all. Referencing the top paragraph, he now doesn’t want to help, but he still wants it to be done. Meal prepping is stressful for one person. At least for me it is. Looking for the recipes, making sure we’d both like it, making sure we had everything for it, only having a few pots and pans. We haven’t started prepping yet, therefore a lot of the fruit has gone bad.

Moral of the story, other than getting rid of him (which I know I need to do, I just can’t come to terms with leaving since we still have good days) how do I find motivation to start doing these things for myself. I feel like if he saw me starting to do it on my own he might hop on the train.

*UPDATE* (not that anyone asked)

But just found out he’s still talking to other girls so, gonna stay in the same apartment for about a month or two until I save up some money and try to get off this lease and move out. Smilin through the tears ✌🏻