Re: introducing your bf to your 'babies'!
OH and I had been married quite a long time and had an 11 year old daughter by the time we had our first horse.
I'd ridden from before I knew him, and he wasn't interested then really, he played golf, and I rode.
It was only after daughter started getting into riding, and then shared a pony at the end of the village that he started going down to fetch her, and then of course she'd say "Daddy can you just do......" so he ended up untacking and putting rugs on etc, and so he got into it gradually.
If you heard him talk now, he's an "expert", lol !!
I should carry on as you are, and either say one day that you're off to the yard would he like to come, or just wait for him to ask about seeing them.
Hope things carry on going well :o)