WLC 4402, LAP1242AG APs and Layer 2 Switch Network Design

Question

Hi Every One,
I am new designer in the Wireless technology. During design i came accros through a confusing/complex existing topology which i have to integrate with WLC 4402 as below;
Existing:
1: I have 12 Switches; all vtp mode server. all in single vlan 1 with single subnet 192.168.0.0/24. All users ports in this single vlan 1.
2: All of these are old switches including 2950G, 350GXL, 4912.
3: All the switches gateway is Pix Firewall (192.168.0.1).
To Do:
1: I have to implement 1 * WLC 4402, 22 *LAP1242AG Access Points.
2: WLC will be connected to 350GXL or 4912 through Fiber.
3: Access Points will be connected to all other 20 switches randomely.
Confusion:
1: In my design i created separate vlan 450 for WLC and APs management. But this is not doable in this current setup because all the switches are vtp mode server. Also the gateway is Firewall. Which will require configuration on all existing switches + Pix.(I DONT WANT TO GO FOR THIS OPTION).
2: To make my work easy, is this possible to Put the WLC, APs in the same vlan 1 (192.168.0.0/24) that is currently used by the existing switches? The gateway for these WLC and APs will be Pix (192.168.0.1).
3: I tried to search Cisco examples, but in every example Cisco has made a separate vlan for WLC, APs management. So will Point 2 worK?
4: Do i require any specific changes for this?
5: ANY OTHER DESIGN SUGGESTION?????????
Please find the attached Diagram for more information.

Answer 1

Thanks for the reply.
1: U mean dat the switch port config will be as below;
int g0/10
description connected to WLAN Controller
switch mode access
switch access vlan 1
int g0/23
description connected to AP
switchport mode access
switchport access vlan 1
so below wil b the sumary of config:
All switches, WLC, APs, Wireless users and Wired users will be in the same subnet (192.168.0.0/24). Is it ok??
2: Wat do u mean by vtp config; Please clarify???
As i mentioned all switches are in vtp mode server. vtp domain name is configred on 12 out of 15 switch. Do i need to config same vtp domain name on all switches? I also have to check vtp pass??