Search column for a string in every space separated value

Suppose I have a column named CustomerNames in database with values:

1. Vins et alcools Chevalier


2. Magazzini Alimentari Riuniti


3. Hungry Owl All-Night Grocers


4. Split Rail Beer & Ale


5. Alfreds Futterkiste

I want to make a query which will search only for the first letters of FIRSTNAME and LASTNAME, and list the names in ASC order based on FIRSTNAME then LASTNAME. for example if I search for "al" in above table, it should return me something like below:

1. Alfreds Futterkiste


2. Vins et alcools Chevalier


3. Split Rail Beer & Ale


4. Magazzini Alimentari Riuniti


5. Hungry Owl All-Night Grocers

I have used below query.

SELECT * FROM Customers where CustomerName LIKE 'al%' OR CustomerName LIKE '% al%' ORDER BY CustomerName 

Output:

1. Alfreds Futterkiste


2. Hungry Owl All-Night Grocers


3. Magazzini Alimentari Riuniti


4. Split Rail Beer & Ale


5. Vins et alcools Chevalier

Which is orderingt results only on the basis of firstnames. But I want a query which gives output using firstnames and then lastnames. Thanks.