Hi Maria,
First of all, I'd like to extend a warm welcome to Wetpixel.
Please excuse me, I have done a search for LX3 and don't appear to have come up with anything so I am probably doing it wrong in some way...
Can you be more specific in what you think you're doing wrong and/or what you're searching for?
The Panasonic is a highly regarded digital compact and I don't doubt you will be able to get some nice images using it.
I'd also like to hear about any of your diving experiences with the camera and what happened when you tried to use it.
Could anyone help me on what would be a good strobe to use with the above combo?
There are several strobes that will do the job. A lot depends on your budget. I am partial to Inon strobes because they are small, very dependable and easy to use. But there are a few other brands out there.
Please be kind as I have not a clue about photography.
Maria, we were all beginners at one time and not all of us have a background in photography. In any event, you've come to the right place as we're here to help you achieve your goals in underwater photography. There are also a lot of resources out there to help you.
Kind regards,
Ellen