The question is which of the two is better for you.
If you want to read books, PDFs, watch videos, Facebook, gmail, messaging, angry birds zillions of apps etc etc. the larger display of iPad will always be better ever at the same resolution.
On the contrary the smaller device will be better if you want portability, lower price, better Bluetooth, flash playback, and bb.
Among the apps you were asking for airvideo and remote are best for multimedia freaks. The former allows to watch videos on the home server or laptop over wifi so you can watch all videos or movies on your iPad, the latter is a remote for your iTunes so you can use an interactive remote to control your music collection from your couch.
The only thing I hate about apple is no flac support in iTunes. An overnight conversion of your music library to apple lossless was the only way out though there are some applications which can play flac on iPad.