1. Price: the price of a private cake is usually a bit more expensive than a brick-and-mortar store.

2. Raw materials: In terms of raw materials, the difference between private cakes and those used in brick-and-mortar stores is not much, but private cakes may pay more attention to quality, such as using better flour.

3. Quality: The quality of private cakes is usually better than that of brick-and-mortar stores.

4. Publicity: In terms of publicity, private cakes usually use raw materials as publicity, such as lasagna, while brick-and-mortar stores have more diversified ways of publicity, which may include a variety of activities and offers.

5. Positioning: private cakes are positioned at the higher end of the population, while the positioning of brick-and-mortar stores may be more extensive.

6. Customer acquisition: private bakery is mainly based on outbound delivery, while brick-and-mortar stores may have more diversified ways of customer acquisition, such as store sales, online sales, and so on.

7. Location: private bakery is generally located in quiet, cheap rent places, while the physical store may be located in busy places, large shopping malls and other places.

In short, there are some differences between private cake studios and brick-and-mortar stores in terms of price, quality, positioning, and customer acquisition methods.