To buy the house you have to talk to Proventus Avenicci, it is in the container next to Jarl. Unfortunately the house is quite expensive for a beginner class, it costs 5000 gold. The house itself is called Breezehome, it is the second house on the right as you enter Whiterun.
It can be purchased from Proventus Avenicci after Jarl von Whiterun, Belgruuf the Great allows the purchase of real estate, or from Brill after Dragonborn Whiterun completes the Battle of Whiterun for the storm coats.
The best places to buy houses in Skyrim
- Honeyside (between 5,000 8,000 gold) Honeyside in Riften is a humble home at a low price, but it has many advantages.
- Hjerim (8000 12000 gold)
- Stolzspitze mansion (cost: 25,000 gold)
- Manoir Séverin (free)
Where to buy a house in Skyrim
- Breezehome (Whiterun) Cost: 5,000 gold.
- Hjerim (helmet of the wind) Cost: 12,000 gold.
- Honeyside (Riften) Cost: 8,000 gold.
- Proudspire Manor (Solitude) Cost: 25,000 gold.
- Vlindrel-Halle (Markarth) Cost: 8,000 gold.
You can get a free house in Solstheim if you have Dragonborn installed and stopped an ■■■■■■■■■■■■■ attempt. You can crouch in the abandoned house or one of the other safe places.
Getting married in Skyrim is actually very simple, just go to Riften Settlement and enter the Temple of Mara. Talk to the pastor and ask about marriage for information on how the process works. Buy an amulet from Mara and use it when talking to your potential boyfriend.
You can purchase and decorate the breeze house outside of the throne and bedroom. Climb the stairs to the right of the throne and wait at the table with the cards. Around 6 in the morning, Proventus goes out and you want to sell the house and furniture while he looks at the papers.
Brief overview 
Finding a Husband and Getting Married in Skyrim To find a husband, you must equip Amuletof Mara and indicate that you are available. Lydia (female, in Dragonsreach in Whiterun, buy Skyrim Breezehome) Marcurio (male, in Riften’s Bee and the Barb, consider him the first to follow him)
There were times when she was overwhelmed and fell to her knees, but got up later. She has never died forever.
Breezehome is one of the Skyrim houses that the player can purchase. This is the first house to purchase as you progress through the main story and provides a safe place to avoid commuting and jumping from one trip to another in Whiterun.
Purchase price: 1500
You can buy him the house for 8,000 gold.
Lakeview (Falkreath) is by far the most beautiful. Windstead (Mortal), just creepy villains and poisoned alchemists like this one more than the other two. It is basically in a swamp and fenced off by a frozen desert. You could also build a house on a landfill.
Honeyside can also be purchased after completing the Skyrim Civil War mission when Maven BlackBriar becomes Jarl. Honeyside is located in the northwest corner of the fault. It can be reached from out of town by following the path west of Rifte Stable.
No one you can marry is relevant in any way. I think depending on the civil war election you might be called Jarl. No, you can’t be an earl.
Since the culture in Elder Scrolls is sexist (which is probably culturally correct), you can TECHNICALLY become the Supreme King of Vanilla right now. At the moment, Jarl Elisif the Beautiful is the one Jagged Crown best claims. So you only have one thing to do … Married to Elisif.