Lägg till fulltextindex till alla strängkolumner i alla dessa tabeller, union sedan resultaten
select * from table1 where match(col1, col2, col3) against ('some string')
union all
select * from table2 where match(col1, col2) against ('some string')
union all
select * from table3 where match(col1, col2, col3, col4) against ('some string')
...