I have a tablet, namely an iPad, which I use in the kitchen on occasion. I would recommend a few apps for that: The All Recipes app; the Epicurious app; the Food Guru app. I'm sure that there must be apps about wine selection, and maybe even about beer, too.
For browsing, I'd recommend iCab. Atomic Web Browser is another good one. (iCab, as one of its many features, can synch its bookmarks with Dropbox, which I don't know if Atomic can, as of yet.) Either of those offers some more features than the conventional Safari mobile browser, in a pretty reliable browser platform. (App crashes seem like less of a concern, on the tablet platform, I think)
You can also take it outdoors with you - weather permitting, of course. There's pUniverseHD for iPad, when it comes to stargazing after dinner ;)
As far as TV, then, there's Netflix on iPad - it's close enough for my tastes ;) If you're into sports - Olympic sports, namely - Universal Sports has also put together an app for the 2012 Olympics kicking off in July. In the more "mainstream sports", and for existing cable subscribes - as I recall - there are apps from ESPN, also. Then there's RedBull TV, for the extremophiles in the family. If you're an existing cable subscriber, there are apps from HBO and I think from Cinemax, as well.
Lastly: For hanging it from the kitchen counter, Belkin makes a nice little temporary mounting bracket, and I'm sure there are more permanent options available. The major technology retailer, BestBuy, carries the Belkin bracket, in their iPad section.
Entertainment and utility abound on the well supported mobile platforms, these days - enjoy!