How can I tranfer files faster?

Using XP.
I used to be able to transfer heaps at once with another computer.
Now, I can’t. I tried to cut-paste one folder, then another. But the second didn’t even start until I repeated the action once the first was finished.
I realise it might be actually wiser to leave things like this, but what if I’m in a hurry. Also, sometimes when cutting-pasting more than one folder at once, I get an error message that obliges me to cancel, re perform the action for each time.