Transfer iPhoto library from one computer to another

Hello EWW:
Before telling you more about my problem, allow me to make three comments:
1) I have never been a member of a discussion forum and am amazed that somebody (you) took an interest in my problem. Thanks a lot!
2) I have been a PC person all my life. The reason I now have 2 Macs is that I inherired them when my son was killed in an airplane accident a short while ago. Although I have learned a lot about the Macs I will need a lot of TLC to get up to speed.
3) I use the notebook primarily for internet access and I intend to use the desk top unit for photography. I just acquired a copy of Photoshop CS2 for it.

Here is the background you requested about:

1) Both computers run iPhoto 2.0.1. {Is it worthwhile upgrading?}
2) On the laptop the file “Pictures” contains a single file which is called “iPhoto Library”. {Can I have several library files? How do I do that?}
3) I copied the iPhoto Library file to an external hard drive and then transferred it to the new computer.
4) The new computer also had an iPhoto Library file in the Pictures folder. I deleted this file and replaced it with the newly transferred file.
5) When I double-click on the iPhoto icon (in the dock) it tells me that the “Photo library”, the “Last Import” and the “Trash” are all empty.
6) When I open the iPhoto Library using Finder>>Pictures>iPhoto Library I find that my pictures are there, but there are no Albums.

Question: Is there a way that I can connect the two computers directly and use Import?

Thanks for your help

Pierre

Hello Brie Fly:
I followed your advice and solved my problems. I did use a fire wire connection between the two computer (instead of the ethernet connection) to improve my transfer speed. Thanks again.
Do you have any thoughts on how iPhoto and Photoshop Album compare as far as storing large amounts of photos is concerned? I just bought CS2 and have to make a decision soon. Thanks.

Pierre