FFF - I posted due to the statement 'spin traing being removed from the PPL sylibus' - just got carried away!!!! sorry!
TO - a PA28 wont fit the bill of basic aeros - for that you need to find somewhere with an aerobatic robin, slingsby, bulldog or c152 aerobat (which tend to be the most common types around) or other aerobatic a/c. And beware - its only PA28 140 that are cleared for spinning.
As for the Tomahawk...depends on your instructor as to whether or not they would be prepared to spin it. I wouldnt. Most of the tales about the PA38 come from at least one infamous spin incident.
Hope you find somewhere good to train. I have found ex. mil insturctors v. good.