entertaining your client at lunch really revolves around two things:
that you have previously established Rapport with them so that they feel comfortable having a dialogue with you. It would be handy if you had some common ground to talk with them about too. football, baseball, golf, tennis, children, food, mothers-in-law whatever
AND
being tuned into THEIR radio channel, which is WIIFM ... "What's in it for ME"
Either talk about what they want in a business sense or get them to talk about themselves.
There are some things you can do about the venue as well:
call the manager directly to make your reservation
request "special attention" (tip beforehand if needed)
pre-handle the bill