We have the same amount of property and raise chickens and goats and have over fifty fruit trees (avocado and olives are fruits too). Together they provide us with a large part of our calories. If you can't source meat chicken chicks locally, you can get them here: Meyer Hatchery.
I agree that raising for eggs is somewhat easier, but getting chickens to lay consistently without supplemental grain is difficult to say the least. We compromise and give our hens a little grain. Pasture, kitchen scraps and manure pile diggings are 80% of their diet. If they'll be on pasture exclusively, get 2-3 times as many chickens as eggs per day you'll need. If you guess high, give the eggs away or butcher a few. If you coop your hens and feed them commercial chicken food, you'll spend a small fortune on food and the eggs will have a rotten fatty acid profile. May as well get them from the market.
We also raise dairy goats, and they provide us with a reliable source of animal fat/protein and probiotics in the form of raw milk kefir. The benefits of raw milk are many, and that's why we eat Weston-Price and not Paleo. Where do you think Kerrygold butter and whey protein comes from anyway? Since our milk is pastured and not pasteurized, it is full of all the good stuff our bodies need. Stuff like CLA, myristic acid, K2, D, E, B6, B12, A, etc. The stuff is a nutritional dream if you raise it yourself and do it right. Plus goats are really fun animals, and they taste good too. Yep, if one of our baby goats has the misfortune of being born a boy. . .
Feeding them is easy. Goats eat weeds, trees, brush, grass, T-shirts, and pretty much everything else not made of thick metal. We truck in tree-trimmings and green waste and they love it. After they clean off the leaves and bark, I cut the wood up, cure it and it heats our house. What goats don't eat the chickens do, and what neither of them eat we give to the worms. Every couple weeks we rake out the coops/pens and spread it around the orchard trees. We have a little permaculture system going and it works extremely well. Our urban homestead may smell a little 'goaty', but our garden doesn't mind.
If you want a small but high fat milk producing breed of dairy goat, look into Nigerian Dwarfs. They're creamy high fat milk is to die for; kinda like squeezing out half and half. I can provide you with endless goat resources if you go this route.
As for the rabbits, why raise 'em when a daisy wrist rocket costs about $15? Rabbits are every carnivore's go-to wild game, and those critters are EVERYWHERE. Much healthier, and much easier than confined critters eating 'rabbit chow'.
We're also investigating putting together a small scale talapia/aquaponic system.