I'm a new hire at my place of employment, in which I work at a branch office.  Upon arriving, I was told that the network wasn't exactly running up to par with occasional hitches in the network.  After doing some investigation, I found the that all the Cisco networking equipment is using VLAN 1 with multiple physical links between everything.  Eventually, the connections go back to a C3640 router.

The C3640 router uses EIGRP to connect to other routers outside our location in which we also get our Internet connection.  The main office has configured the router and I'm mainly responsible for everything internal to our branch.  We have 4 subnets that we use internally:

176 - Datacenter

177 - Device Management

216 - Tech/Servers

229 - Users

The physical link to the router is defined as follows:

interface FastEthernet0/0
description LAN segment
ip address 172.24.216.254 255.255.255.128 secondary
ip address 172.24.229.254 255.255.255.128 secondary

ip address 172.24.216.254 255.255.255.0  secondary

ip address 172.24.217.254 255.255.255.0 secondary

I believe the problem is that all traffic, especially heavy traffic from the datacenter, has to go through this old router before reaching the other subnets.  We have several gigabit capable switches here capable of routing.  My idea is to move all the subnets to the C3750 & C4948 switches and allow the routing to be processed on those two switches.  That leaves the C3640 to be only used for connections outside out network, such as to corporate or the Internet.

I want to resegment the network to 4 individual VLANs.  I have a C3750 that I would like to be the main router for subnets 229 & 177 but would also provide a hub-spoke connectivity to all the other switches in the office.  I also have a C4948 switch that I would like to be the router for subnets 176 & 216.  If I am to do this, could I potentially just define everything via static routes or would you suggest using a routing protocol?

Any help would be appreciated.