Hi OP
Best bet is to sign up to British hen welfare trust or Chicken Rescue UK and get some rescued ex commercial hens that are headed for slaughter. They are sweet, easy little things that don’t go broody, and give you loads of eggs. Some aren’t healthy and don’t last long, others live for years. I have introduced 3 new flocks with no trouble, if you have a large run it’ll be easy for you to split if you want to introduce new birds. You’d need a second coop in this instance though.
I have two Eglus. Don’t buy new, get one from
facebook marketplace or similar. I have an Omlet autodoor but I wouldn’t recommend it, there are better ones out there I think.
Your coop looks good, just keep it clean and watch out for red mites, which can be an issue particularly with wooden coops. The advantage you have is your coop is big enough to add high perches. This is useful if chickens are being bullied, it gives them a place to escape to at night. I haven't heard of the duck house you mention but just bear in mind chickens like a perch to roost on, which I assume duck houses don’t have? You can always add one though.
Make sure your run is fox proof. Those buggers are clever, and hungry.
Find out which vets near you treat chickens. This has been my biggest difficulty in chicken keeping, good vet care isn’t easy to find.
I recommend the Facebook group Chicken Keepers UK. Lots of good advice on there.
Lastly, PLEASE don’t hatch unless you’re prepared to keep all the birds or have homes set up for them. You’ll get a good number of boys, who often end up being culled.