Don't read the cases while online or send them to the printer while online. Instead, send them to your ram disk and read at your leisure. Remember that a ram disk stores data faster than a hard disk and a hard disk stores faster than a floppy disk. You are not charged extra for each logon, so the best method is to get what you think you need, logoff, and come back later if some area is missed. A common mistake is to make a general search when only one or a couple of libraries is needed.
Uneeded libraries waste time.
It may be best to put one lawyer in charge of this type of research. I question putting a secretary or paralegal in charge of such matters because of all the nuances which fly by on the screen. Flip a coin. Both companies are growing fast and carefully pace each other. Lexis has a few extra libraries in the patent and tax sections which would be essential to those practitioners.