field1 LIKE X
OR
field2 LIKE Y
OR
field3 LIKE Z
If you take the AND/OR combination with the LIKE/EQUALS combination, this will give you 4 search cases, LIKE/AND, LIKE/OR, EQUALS/AND, EQUALS/OR (5 if you include your wildcard search)
That would give the property agent the greatest search flexibility.
Regards,
Richard