Everything you are asking calls for an opinion. We all have different opinions and different experiences so you are likely to get a wide variety of responses. Just keep that in mind.
Before I can recommend any breeds I need to know your goals. It sounds like you want egg production. What else do you want? Does egg size or color matter? Do you want different colors of egg shells or chickens? Do you want hens that go broody or tend to not go broody? You might go to Henderson’s Breed Chart and see what they say about breed tendencies. I know it can be hard to determine what you really want when you are starting out, but a look through that chart may help you. There is probably a huge number of different breeds that will make you happy.
Henderson’s Breed Chart
http://www.sagehenfarmlodi.com/chooks/chooks.html
A Silkie is usually bantam and will lay a small egg. I consider them a “special-needs” chicken because they can’t fly. Lots of people have them and love them, but their lack of flying can cause uses with roosting or sleeping in nests. They are also know to go broody a lot.
The Jersey giant is a huge chicken though the eggs are often not especially large. They are kind of late maturing too. Again some people love them but they are not the chicken I’d choose for egg laying.
I also suggest at least three to start with. Chickens are social animals. If you start with two and lose one there are issues. Also, integration can be a problem when you add new chickens to your flock, especially if space is limited. If four is your maximum, I’d start with four. Egg production will be a bit sporadic whatever you do anyway. They will molt and stop laying while they replace their feathers. Egg production doesn’t totally stop as they get older but it does decline. Some can continue to lay an egg a week for several years. One year’s difference in age isn’t that much.
What do you plan to do with your older hens? Will they be pets and die of old age or will you replace them as egg laying declines?
How we brood chicks can vary a lot. I like to brood in the coop with a heat lamp. I have 22 in my brooder in the coop right now. Others like to brood outside using other heat sources. Some like to brood in their house. Some like to use an attached garage. There is no one right way with all the others wrong. It’s just too wide open a topic to get real specific. You might spend some time up in the “Learning Center” at the top of this page reading up on a few of those methods. Most hatcheries have instructions online. It’s a good set of questions but it might be easier to answer if you do some research and ask more specific questions about certain methods.
Good luck and welcome to the adventure. It doesn’t have to be as hard as we sometimes make it sound.