Eels are also GREAT escape kamakazi fish. lol.
You will HAVE to have a tightly closed top for an eel to live.
Moving the eel as said above, will stress it, and I wouldn't be surprised if the eel just jumped out, or got out somehow of whatever container you try to put it in.
My friend's mom had an eel, and my mom's co-worker had one, they both escapred from their tank and died.
So please be sure you want and eel, and that you are PREPARED to basically duck tape everything closed for the tank.