Shell – run two commands in screen detached

I am trying to download a file with wget but in background and inside a screen that detaches …

My initial command was:

wget http://www.example.com/file.zip -O temp/file.zip; mv temp/file.zip downloads/file.zip;

That would nicely move file once downloaded, preventing me from handling downloads/ files while they still download in background.

Now I need to run that in backgorund with screen, so I run and detach it:

screen -dm wget http://www.example.com/file.zip -O temp/file.zip;

But how can I still pass the move command and so that it runs when first one is completed ?

Edit: I tried quotes based on DopeGhoti's answer:

 screen -dm 'wget http://mirror.leaseweb.com/speedtest/100mb.bin -O 1.bin; mv 1.bin 2.bin'
 cannot identify account 'wget http:'.

and this:

 screen 'wget http://mirror.leaseweb.com/speedtest/100mb.bin -O 1.bin; mv 1.bin 2.bin'
 cannot exec 'wget http://mirror[...] no such file or directory

Edit: I tried with full /usr/bin/wget and /usr/bin/mv paths, it complains about missing session name, I gave it session name with -S foo, now it exits silently, no such screen to resume and no files downloaded:

screen -dm -S foo '/usr/bin/wget http://mirror.leaseweb.com/speedtest/100mb.bin -O 1.bin; /usr/bin/mv 1.bin 2.bin'