I have no need for the old url from the old site. The domain of the old site is not going to be renewed. There are very few backlinks involved, so I'm not concerned about loosing link juice.
Is it okay in this situation to simply copy and paste the content to the new site, and then trash the old page?
(Actually, in the title to this thread I used the word "transferring," but I'm hoping I can just copy and paste.)