I gave up having my own horse last year and I really miss it. She was a youngster I had brought on, but she didn't make height and was too small for me as a long-term horse. She has gone to a great home where she is thriving and much loved. I had planned to get another (taller) horse, but I had an injury so took a break over the winter, and now have decided not to buy another for the time being. I miss having a horse that's mine, but am having a weekly lesson, and spending time with a friend's horse occasionally.
In my case, DH would never have told me to sell, but made it clear he was unhappy with the amount of time spent away from him and DS. The stress of always feeling in a rush took a toll on me. I felt I wasn't doing anything well, my work suffered as well as family life, I had no energy or time for seeing friends, and I felt as though I wasn't doing enough for my horse to bring her on properly. I was on DIY livery (no full livery yards within decent driving distance) with help from a freelance groom. When my groom quit with a week's notice for another job, the wheels fell off very quickly.
Now I'm much calmer, work is going really well, DH and I are getting on better, DS is happier (he's early teens and seems to be suddenly growing up very fast, so I want to be around whilst he still wants to spend time with me). When I got the horse, DS was riding as well and loved coming to the yard with me, but he lost interest when he hit puberty.
In your shoes, I would look very carefully at your relationship before you have a child. All the people I know who have had a baby whilst owning a horse have struggled, and that's with help from supportive family and friends. It's hard to understand beforehand just how much children take over your life. If your H is not supportive, it's unlikely you will be able to keep the horse once you have a baby. It sounds like he is the sort of man who would expect to carry on regardless with his social life, and you will be left juggling baby and dogs, with no time (or money) at all for the horse. Also, separate money doesn't work well once you have kids, as your career will likely take a hit at least for a few years.
For now, could you schedule in a time in the week when you will definitely spend time together, and plan something nice for each week? Once your horse is sound, a part-loaner sounds like a great solution, and would likely give you back a weekend day and well as a night or two midweek, whilst keeping your livery costs down.