Ok, here's my predicament. Laptop has died a sudden and horrible death while working remotely (in Fiji

)! I've been directed by my employer to purchase a laptop (yeah!!!!!) locally and have done so (why are new laptops always so nice)?
Now, my old laptop will switch on but behaves like a sort of professional European soccer player (i.e. is prone to dying if you touch it).
So, assuming I can get my old laptop to work for long enough, how do I export my bookmarks (of which there are many) to my new laptop?