..perhaps starting small and eventually building up to no more than two sheep, a goat, a pig or two and a flock of geese?
Taking those rose tinted specs off for a minute - sounds like there are ample outbuildings but 3/4 acre in total to go with it ain't much (little more than a garden in fact). Just my opinion but:
2 sheep - 'They' say you need to allow a minimum of 1/4 acre for one sheep (I allow more), so that's 1/2 acre of your 3/4 gone already - plus you need to be able to rotate the grazing - so that means splitting their grazing into about 3 sections.
Just the one Goat? - Also goats are browsers not grazers. And you will need
good high fencing to keep them (it) in.
A pig or two. Definitely 2, not 1. Pigs like to root about outdoors, they will reduce the grass to nothing but dirt very quickly. Again, you will need to make sure their perimeter fencing is very strong.
A flock of Geese - how many? Geese will range and graze happily, but you haven't much grass?
I'm not being mean or putting a downer on it - I haven't seen your layout - just pointing out that you need outdoor space for the animals health (both mentally and physically).
Another thing to bear in mind is bark is very tempting to nibble at - so goodbye orchard.
I'm just being practical - where are you going to put the muckheap?
You know what I'd do? Get planning permission to turn the lot into a residence, sell up both properties and go buy something with more outside space.....
....well that's me opening a can of worms!
PS: I see you've posted this same message in 4 sections of this website?