Advice on Measures that have properties on their own

Merge them. Sometimes it's worthwhile to have a separate Addresses table, but generally it's simplest to make those fields of a single Customers dimension. Because addresses are nearly unique, you're not going to save many records by hiving them out to their own table.

If your Customers table is really large, and addresses change relatively often then moving Addresses out as a Type-4 SCD could be a worthwhile optimization, but a small one.

If there's interest in analyzing customers independently of their specific sales (e.g., "20% of our top-100 customers are international"), you can absolutely add a NumCustomers dummy column to this Customers table to turn it into a factless fact table.

Assuming that the app will be treating these various shop-types in the same manner for some operations (operations that do not care what type of shop that it is), then my preferred approach is to use a subclass / inheritance model. I have detailed this out in a couple of other answers here:

• Don't know how to transform variable entity into relational table

• Can't convert this type of ER diagram into SQL or relational tables

The basic concept would be as follows (using Microsoft SQL Server T-SQL semantics).

First you need the main entity table. It represents various "types" so those need to be defined in a lookup table (and the lookup table should have a matching enum in the app layer). Please note that I am using a TINYINT here which holds values from 0 to 255. Use the smaller numeric type that will meet your needs.

CREATE TABLE dbo.ShopType
(
  ShopTypeID TINYINT NOT NULL PRIMARY KEY, -- NO IDENTITY / auto-increment!
  ShopType   VARCHAR(50) NOT NULL
);

CREATE TABLE dbo.Shop
(
  ShopID     INT NOT NULL IDENTITY(1, 1) PRIMARY KEY,
  ShopTypeID TINYINT NOT NULL REFERENCES dbo.ShopType (ShopTypeID), -- FK to ShopType
  ShopName   NVARCHAR(100) NOT NULL,
  VisitorsLastWeek INT NOT NULL DEFAULT (0),
  -- {OtherCommonFields},...
  CreateDate DATETIME NOT NULL DEFAULT (GETDATE()), -- or GETUTCDATE()
  ModifiedDate DATETIME NOT NULL DEFAULT (GETDATE()) -- or GETUTCDATE()
);

Next you create a subclass table for each particular "type". It is sometimes appropriate to share a subclass table for multiple "types", but just be careful when doing that so one type doesn't evolve differently than the other type(s) that might be sharing the same subclass table. Please note that the PK of the subclass tables is the same field as the PK in the parent class (i.e. the [Shop] table) and even FKs to it. The reason is that the row in both tables (e.g. [Shop] and [ShopRepair] that have the same value for [ShopID] are together a complete entity; the row in the subclass table does not represent anything by itself and doesn't need a separate ID.

CREATE TABLE dbo.ShopFood
(
  ShopID INT NOT NULL PRIMARY KEY REFERENCES dbo.Shop(ShopID),
  MostPopularItem  NVARCHAR(50) NULL,
  ModifiedDate DATETIME NOT NULL DEFAULT (GETDATE()) -- or GETUTCDATE()
);

CREATE TABLE dbo.ShopRepair
(
  ShopID INT NOT NULL PRIMARY KEY REFERENCES dbo.Shop(ShopID),
  CurrentComputerRepairs SMALLINT NOT NULL DEFAULT (0),
  RepairEstimatedHours TINYINT NOT NULL DEFAULT (0),
  ModifiedDate DATETIME NOT NULL DEFAULT (GETDATE()) -- or GETUTCDATE()
);

CREATE TABLE dbo.ShopRetail
(
  ShopID INT NOT NULL PRIMARY KEY REFERENCES dbo.Shop(ShopID),
  NextPromotionDate DATETIME NULL,
  CurrentWeekSalesEstimate MONEY NULL,
  ModifiedDate DATETIME NOT NULL DEFAULT (GETDATE()) -- or GETUTCDATE()
);

To simplify SELECT operations, you can create Views against each type, if you like:

CREATE VIEW dbo.FoodShop AS
SELECT sh.ShopID, sh.ShopTypeID, sf.MostPopularItem
FROM   dbo.Shop sh
INNER JOIN dbo.ShopFood sf
        ON sf.ShopID = sh.ShopID;

CREATE VIEW dbo.RepairShop AS
SELECT sh.ShopID, sh.ShopTypeID, sr.CurrentComputerRepairs, sr.RepairEstimatedHours
FROM   dbo.Shop sh
INNER JOIN dbo.ShopRepair sr
        ON sr.ShopID = sh.ShopID;

CREATE VIEW dbo.RetailShop AS
SELECT sh.ShopID, sh.ShopTypeID, sr.NextPromotionDate, sr.CurrentWeekSalesEstimate
FROM   dbo.Shop sh
INNER JOIN dbo.ShopRetail sr
        ON sr.ShopID = sh.ShopID;

EDIT:
I forgot to add in the "audit" fields of [CreateDate] and [ModifiedDate]. I have now added them to the tables above. Please note that:

• these fields are not in the [ShopType] table as there really is no purpose here, but that is a bit subjective and some people still like to know at least when the records were created, so maybe [CreateDate] is fine there

• the [CreateDate] field is not in the subclass tables as the assumption is that those rows are created at the same time as the parent record. But when it comes to updates, those might just touch one of the two tables, depending on which fields are being updated. If using SQL Server, it is possible to create the records for both tables in a single statement even, using the OUTPUT clause as follows:

  CREATE PROCEDURE dbo.Shop_CreateRepairShop
  (
    @ShopName NVARCHAR(100),
    @CurrentComputerRepairs SMALLINT,
    @RepairEstimatedHours TINYINT,
    @ShopID INT OUTPUT = -1
  )
  AS
  SET NOCOUNT ON;
  
  INSERT INTO dbo.Shop (ShopName, ShopTypeID)
    OUTPUT INSERTED.ShopID, @CurrentComputerRepairs, @RepairEstimatedHours
    INTO   dbo.ShopRepair (ShopID, CurrentComputerRepairs, RepairEstimatedHours)
    VALUES (@ShopName, 2); -- assuming ShopTypeID for "Repair Shop" = 2
  
  SET @ShopID = SCOPE_IDENTITY();