Firstly, no do not tell him about the phone, it is none of his business. If you can get her a cheap replacement phone and transfer the sim over to it then she can still message him if she wants to.
Definitely look into and apply for maintenance via CMS, it takes them a while to set it up and you'll only be entitled to maintenance from the date you apply, as far as I know they don't backdate it.
Also, you can ask for maintenance to be calculated and then collected for you by the CMS 'collect and pay' service. You will need to explain to them that he is controlling and abusive to be considered for collect and pay.
This service will cost you 4% of the maintenance awarded to you, and will cost him an additional 20% on top, so is a useful bargaining tool if he refuses to pay or messes you around once the CMS have assessed what he should be paying.
Finally, if he has moved an hour away you are not responsible for getting her to him for his contact time, that is his responsibility. Also, your daughter is entitled to time with both parents at weekends, so I would change that to every other weekend so you get equal relaxed time with her. If he wants more time with her he can drive over one evening and take her out for tea then drop her home.
Good luck! It's scary standing up for yourself when you're used to going along with an abusive person's wants to avoid conflict and he will probably kick off and tantrum massively at first when you say no to him, but you are a mother, you can do this! It is also very empowering when you realise you also have a say in how your life is and what behaviour you will and won't accept. He is not the boss of you!