This is kinda confusing, I hope I can articulate it reasonably well

My XH and I have 50/50 time spent with our boys. 3 nights one week, 4 nights the next.

Lately DS1, who is 7, has been saying this like 'Dad says when Im 12 I get to choose where I want to live'.
I asked whether he had brought it up and he said no dad just says that on days when we go to your house.

He's also trying to force all of the children's sporting activities to be where he lives.
I'm particularly upset about this because they're with me every Friday night, at his insistence, and when one sport is a Saturday morning thing which varies between 830am and 930am starts, I think its a bit much for them to have to get up an hour early do that I can drive them the 40 minutes to his suburb, when we could walk to the sports centre near me, and they could go to his place afterwards.

But its more than that. Based on his past behaviour (12 years of it) and history of emotional manipulation and passive aggressive behaviour (towards me and particularly DS1) I think he is doing it because he thinks that the more things they do near him, the more likely he will get full custody of them, which he has said outright he wants and believes himself to be entitled to. Its the way he does things. He runs campaigns, sometimes months and years in advance, to make you think something was your choice.

Is he right in his thinking?

I'm not sure how to handle the situation.