Seeking advice on transfer to new computer

[roadcone]

I am pensioning off my Linux Mint 11 machine for a slightly newer 
machine onto which I will install Mint 17. I'd like to retain my 
download history - is it as simple as copying a single file or group of 
files from one computer to another? If so, which file(s) and where will 
it/they be found please? I have found problems copying the 
get_iplayer.pl script into the appropriate place in Linux as I did not 
own the folder and was not sure how to overcome that problem (I 
discovered how to take ownership but did not know whether that action 
would have consequences to the running of get_iplayer or dependency 
programs). I resolved that problem another way but will a similar issue 
occur here please?

Regards

Clive