is it possible to move a database from one machine to another? maybe like copying the tables...

Dump the database with the command line tool mysqldump and import the dump file using the command line tool mysql on the second server.

i do not understand. what is to dump? and i merely want to be able to work on my project at any time even when i am not on my laptop. how can i have it with me in a flash drive so to say?

dump = extract the entire database contents, which you can then use to populate a copy elsewhere, either as a backup, or to work on.

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