Which breeds lay the bigger eggs? And anyone have any suggestions for Coyote troubles?

I had 67 hens and 4 roosters before the Coyotes came, now I have a small flock of 11 birds. I let them out during the day to free range and coop them at night and really bad weather. I had a good egg selling thing going and now I have to rebuild my flock. I've only been raising heritage breeds. I put kennel fence all around it and on top. They had been getting in from overhead. I caught one in my coop, just before I put the top on, that couldn't get out the next am. The didn't dig through but I think it won't be long before they think of that. I plan on putting some wire surrounding the outside on the ground. Don't know how far out to go. I'm in Bear Creek, NC a very rural place. The seem to only come by in the evening and over night. do they hit during the day? I hope they dont think of that. I've lost 2 outside cats and 4 small dogs too. What am I missing? Susie Q

 

And when I do rebuild my flock this spring I need large egg layers. I have 2 young light Brahma hen's that haven't started laying yet and several R.Reds, and 3 ducks. Which of the Heritage breeds lay large eggs? I had some very pretty Aracona's that had gobs of blue eggs but I don't think I'll be that lucky again. The lady I got them from sold out of all her chickens and I can't find anyone with blue egg layers. The folks I have that buy eggs from me really loved them and the really dark Maran eggs.

 

Thank you so much for your replies and great suggestions. I love music so that's the first thing I'm going to do and the electric fence. My husband found out we can defend our livestock and shoot them if they come after our animals.So last week "during the day" about 4:30pm a coyote came looking for dinner at the coop and found my 20yr old nephew home instead. He was playing with our twins outside, he put them in his car, the closest safe place and he got out his gun and shot it. He also shot one that was running away down into the woods. So 2 down and don't know how many are left but maybe he got them! He's in school to become a police officer so he's a great shot and thank you God he was out there with our girls. They were huge! About the size or bigger than a German Shepard dog. I'm also grateful I don't think we have bears close by. Since then no more coyotes have bothered us. Hopefully thats the end of them. So Moving on!
On of my neighbors found a lady that breeds RReds and we're going to get about 10 more and a small incubator in a few weeks. I'm also going to find some more Light Brahma's. I love their calmness and how easygoing they are. My twins (9yrs old) want to get a few bantam chicks this Easter too. Can't wait. I've made a lot of cool crafts, painted flower pots and quilts to earn enough to buy our poultry and hope to sell more of them so we can get back up to a good flock size again and start selling eggs.. Thank you again, I'll keep everyone up on our progress! Susie Q

 

I had a few of those too and they had the most pretty blue eggs. I want to find more of those. I found a man a few miles away that has White Rocks and they surprised me. I didn't know that Rocks came in white. They were fairly large birds too. My 2 Light Brahma hens are larger than my RRds but my friend says she thinks they may be small for the breed. Their perfectly feathered but only slightly larger than my other hens. Who ever is laying right now however is giving me medium chocolate eggs. I don't know what color their eggs are supposed to be. My Annie is holding
Her favorite of our Brahmas. They were last Easter's chicks so not quite a year old. My husband says our nieghbor who has cows had coyote trouble too and set traps out. We hope we got the all the trouble makers and we put extra wire down for diggers. We've had no trouble since my nephew got those other 2 so hopefully we're done with them for now. I love it when my twins come running in the house all excited with eggs they find in the backyard grass! It's just what i did when I was their age! Susie Q