The Home Store
The Home Store, similar to Buy and Build Mode from The Sims games, is one of the places to buy various items for the sims' houses as well as customize the walls, floors, etc. of said house. It also includes an inventory that allows for the storage of items.
The Home Store can be accessed by clicking the picture of a chair next to lamp in the bottom center of the screen while at any sim's house.
List of Home Store Options
Furniture
Featured - Contains new items from any of the standard categories.
Bathroom - Contains toilets, showers, sinks, and bath tubs.
Electronics - Contains TVs, computers, stereos, phones, the weather machine and now a pee cleaner.
Bedroom - Contains beds, nightstands, wardrobes and dressers.
Kitchen - Contains refridgerators, stoves, coffee machines, tea plates and microwaves.
Counter Tops - Contains all of the kitchen counter top stuff, like sinks, cupboards, or just plain counter tops.
Living Room - Contains comfy chairs, couches, bookcases, fireplaces, and coffee tables.
Dining Room - Contains dining room chairs and tables.
Infant - Contains cribs, a rocking chair, and a few other things.
Toddler - Contains various toddler toys as well as some furniture for toddlers.
Preteen - Contains preteen beds, study desks, posters, and various other preteen items.
Pets - Contains rabbits, food bowls, cat beds, dog houses, and cat/dog toys.
Decorations - Contains random home accessories, such as clocks, pictures, suits of armor, etc.
Lighting - Contains both wall and floor lamps of varying designs.
Best Sellers - Contains popular items (as defined by EA).
Social - Items that can be obtained based on the amount of NBR points you have. (Replaced with Social Points after Neighbor update)
Move and Sell - Allows you to rearrange items already in your sim's home or to sell or store the items.
House
Rooms - Allows you to adjust the sizes of the rooms in your sim's home and make new rooms
Floor Construction - Allows you to add floors.
Floors - Allows you to change the color and design of the floors in your home.
Roofing - Allows you to change the color and design of the roof.
Walls - Allows you to change the interior wall design for any room in your sim's home.
Exterior Walls - Allows you to change the style of the outside walls of your home.
Windows - Contains various sizes and styles of windows.
Doors - Contains various sizes and styles of doors.
Outdoors
Pools - Allows you to add or adjust the size of a sim's private swimming pool.
Pool Interior - Allows you to change the style of the bottom of your sim's private pool.
Pool Paving - Allows you to change the styles of the pavement ring around the edge of your pool.
Paver Width - Allows you to change how many pavement rings are around your pool.
Pool Items - Contains pool ladders, inflatable chairs, slides, and presumably diving boards (once unlocked).
Trees, Plants & Flowers - Contains the garden plot, as well as various plants and trees.
Outdoor Furniture - Contains patio chairs, patio tables, benches and grills.
Outdoor Decorations - Contains various statues and outdoor lighting.
Inventory
Inventory is one of the options in the Home Store which allows players to access the items that have been saved. Items in the inventory are sorted similar with the Home Store categories.
Additional Information
This is the current set up for the home store. As evidenced by the pool update, it is possible for the Home Store to continue to expand.
It seems that the items available in the Infant, Toddler, and Preteen categories are the same as those available in the Children's Store. Whether they offer the exact same items needs research.
Interestingly, rabbits are available in the Home Store, as opposed to the Pet Store, where the cats and dogs can be bought. The Infant, Toddler and Pre-Teen tabs are only available after the children's store is brought.
New items become available when you level up
The pets tab is basically the 2nd section of The Pet Store as it requires The Pet Store.