SQL Server 2012 :: Combine Functionality Of IN And LIKE In WHERE Clause

I would like to be able to combine the functionality of IN and LIKE in a WHERE clause. Although the simple AdventureWorks2012 example below illustrates the concept with 3 search criteria, the real-world example I need to apply the concept to has a couple dozen. This returns 50 rows, but requires multiple OR ... LIKE functions:

SELECT DISTINCT c.Name
FROM Sales.Store c
WHERE c.Name LIKE '% sports %'
OR c.Name LIKE '% exercise %'
OR c.Name LIKE '%toy%'

What I would like to do is something like this, which doesn't work:

SELECT DISTINCT c.Name
FROM Sales.Store c
WHERE c.Name IN(LIKE '% sports %', LIKE '% exercise %', LIKE '%toy%')

I could load up a cursor and loop through it, but the syntax is more cumbersome than the multiple LIKE statements, not to mention most SQL programmers are horrified at the mention of the abominable word 'cursor' for performance reasons.