Network Design

I am considering some changes to my network topology.

Tell me if this is supid or not

3 locations,  all connected by fiber

currently, each location is its own /24 subnet.  It includes clients, printers, and servers at each location.

for example,  site 1, is a /24 network,  has printers, servers and clients

site 2 is a /24 network,  has printers, servers and clients

and site 3 is a /24 network,  has printers, servers and clients.

i am thinking about redesigning it and taking the servers off the user subnets, and creating a subnet of their own.  It would be one /24 subnet for the servers.... traversing the fiber links between the buildings. 

is that a decent design, or is that bad juju?