I can't add to the excellent advice already given OP, but I want you to know that I handled my divorce from an adulterer in much the same way that you plan to.
My ex, like your h was (and still is) a very entitled, arrogant man. He was having an affair for years before I finally got strong enough to throw him out. Unlike you, I didn't have concrete proof, although one of our DD's did see a couple of incriminating texts on his phone from OW. He really ramped up the nasty, cruel behaviour once I filed for divorce. I had all my ducks in a row, and had already seen an SHL the week before I threw him out. He had no idea. I threw him out on the Wednesday, and he received the papers at work the Friday of the following week. He went ballistic. He couldn't believe that little old me had the audacity to divorce him.
He got really nasty, he told our kids that I had pushed him to the edge of a breakdown, He tore up the papers and had to be served again. He ignored further solicitor letters, refused to disclose financial info, ignored the courts and went off the radar. Thankfully my SHL had seen it all before, and knew exactly how to proceed. The thing is, whilst he was being as obstructive as possible, he was living with the OW! At the time I couldn't fathom why he was trying to make our divorce so painful and difficult, when he was with the woman he had been seeing for years.
With hindsight I know that he did this because he could. He couldn't bear me being in control. His ego couldn't cope with me coping without him. His solicitor told my SHL that he said "This is moving way to fast, I don't like it, so I will dictate if and when this proceeds.' His arrogance was breathtaking. If he had played ball, it would have taken six months. It took 16 months, and cost him a fortune. He finally realised that he wasn't above the law, and was forced to comply.
His utter fury with me is still there, nearly six years later. He hated that I told his family, my family etc the simple truth, as well as mutual friends. The 'she's a fruit loop, she'd push any one to an affair, I nearly had a breakdown' myth that he'd repeatedly told any one who'd listen didn't wash, because people saw me as a dignified strong woman who had been treated disgracefully. He lost some of his closest friends. And he blamed me, for it all. He never had the balls to put his hands up and say 'I did this.'
I've told you this OP because I think my ex and your h are cut from similar cloth. He will get nasty, you will cope if you keep your dignity and have the best solicitor you can find.
Well done so far.