@athena1312138 Question: Does she insult you if you comply and insult you if you don't comply with her rules? If so, you will be insulted either way, so make memories with your kids. Stop over analyzing it and don't be afraid to have a good happy life with your kiddos. Let her decide to be a bitter lemon if she chooses to. Take her list, find what is reasonable, healthy for the kids, and in line with your own way of parenting. The rest of it, either choose to tell her you will not be complying with those rules and give her the reasons why or just live your life and deal with the insults as they come. Hell, make it a positive thing and put a certain amount of money in a jar every time she insults you. A quarter, a dollar. That turns into some seriously effective savings.
As far as a love interest goes, it is respectful to introduce them to the other parent, but not required. These restrictions on your life with the kids will only go as far as you let them. And you need to set boundaries now before involving any love interest in this aspect of your life. I was a step mom and I got thrown right in the middle of the cannon fodder between them. I was like a free family therapist/punching bag for a decade. I am now divorced. It wasn't the only reason, but it played a big part in the divorce, particularly because the stress added to the development of a rare condition that could have made me permanently blind.
So before you have another lady come in on this, make sure you have a firm grip on how you handle your co-parenting relationship, whether the other parent is nice or not, and that you can protect your future partner from any of the negative side effects that may come from your co-parenting. This doesn't mean don't ask for a future partner's opinion on situations or how things will affect the life y'all share, but take what is given and smartly work it in to the co-parenting techniques that you have decided to use. Trust me, with the right woman, they will be grateful, and it will make you so much more attractive to your future partner than if you act without a backbone and let them be thrown to the wolves (not accusing you of this, just speaking from experience sadly).