And, while I'm no closer to making a decision, I am mighty tempted by this cute specimen which has been making the decor blog rounds.
This mat tells your guests how you really feel, with a chipper "Come in" greeting them on entry, and "Go away" when they're ready to depart.
Or, you can use it as a type of open and closed sign, turning it to "Go away" on those evenings when you'd really rather settle in with a cup of tea and a good book than with company.
The natural coarse fibre mat, designed by Sam and Jude, measures 15.75 by 26", and retails for about $40 US.
I spotted it, with Canadian shipping available, at Generate Design.