Multiple PCs ... with one mouse and keyboard

I just recently purchased a Sony monitor that allows for 2 computers to be connected.

My question is, what is the best method to share the keyboard and mouse among the 2 computers?

A KVM switch is not necessary (and expensive) because I do not need to share the monitor.

My keyboard and mouse are wireless, so can I just use 2 transmitters per item?



- Rob -

Dimension 8200
Pentium 4, 2.4 GHz
533 MHz FSB
1024 MB PC800 RDRAM
128 MB GeForce4 Ti 4400
40 & 60 GB Ultra ATA/100 HDs (7200 rpm)
60 GB external IEEE 1394 HD (7200 rpm)
Turtle Beach Santa Cruz sound card
Altec Lansing ADA885 THX speakers
16X DVD-ROM
40x/10x/40x CD-RW
Sony CPD-420S 19" monitor

Dimension 8100
Pentium 4, 1.7 GHz
400 MHz FSB
1024 MB PC800 RDRAM
64 MB GeForce3 Ti 500
Two 20 GB Ultra ATA/100 HDs (7200 rpm)
Samsung 16X DVD-ROM
NEC 24x/8x/40x CD-RW
Windows XP Professional
Windows 2000 Professional & Server
Red Hat Linux 7.3

Latitude LS
Pentium 3, 500 MHz
256 MB SDRAM
20 GB HD
Windows XP Professional