From my experiences as a renter....

(and assumning you have previous time in the aircraft types.....)
Any club checkout in a SEP simple aircraft (PA28 / 172 / 152) will cover the others, BUT they may require 3 touch and go's. So you do a club checkout in a PA28 (even if you've never flown it before), then 3 T/G's in a 172, and you can rent the PA28, 172 and 152.
If you do the same in an Arrow, plus 3 T/G's in a 172, you can rent an Arrow, PA28, 172 and 152.
....or if like my mate you do a stonker of a landing and bounce it three times on landing, that may count as three touch and go's