I would second skeegcpp and imdarkside's posts. Any standard usb/mini usb cable, such as those that come with most digital cameras, or can be found in any dollar store, used with MyMobileR, Windows Explorer and ActiveSync or Windows Mobile Device Center is all you really need to do it all. You could backup your device data using PIMBackup from your device using MyMobileR as your interface in lieu fo your broken screen to backup your data for reuse on another machine. For the rest just browse the device from Windpws Explorer and copy the files you want to save such as ringtones, pictures and other documents. No sweat.
Edit: Ahem... As I was typing this ( I stopped for supper...), I was under the impression from your personal info that it was about your HTC Touch, and I just found out it's an LG
I guess our advice wouldn't help much then