You could try something like:
select top 5 left(Full_Name_Field, CHARINDEX (' ',Full_Name_Field, 1)) as First_Name,
right(rtrim(Full_Name_Field), len(Full_Name_Field) - CHARINDEX (' ',Full_Name_Field, 1)) as Last_Name,
from customer_Table
where Full_Name_Field like '% [a-z]%'
update customer_Table
set
First_Name...