For us, Puffin first had creamy discharge at 7am - she went on to kid at 4pm.
She was increasingly affectionate, ate hay like it was going out of fashion, hoofed the floor a fair bit and just looked 'fed up and uncomfortable'.
I felt much like you Poppy, in having had 4 children of my own I just felt that I knew we were starting. Hubby poo-poohed it and actually put on FB that there was more chance of him having a baby that day than puffin

but I just *knew*.
My other goats are in a separate paddock but can all see each other through the fence. I had PUffin in a shed on her own although the nosey parkers did watch most of it over the fence, typical goats! I personally felt that she needed her own space and the kid whilst still wobbly could do without other large goats about, just my thought.
I followed my natural instincts as well as all the books I had read. For us, Puffin gave birth once all 4 children were home from school and husband had just got in too - all 6 of us quietly watched as Sixpence was born. A really amazing experience and I'm so glad the children witnessed it too - he is now my eldest daughters pet.
Normal to be nervous but nearly all kiddings go OK, just have your vets' number to hand, a flask and camera