How portable are you talking about? My ass is portable!
I have a small box air filter with ionizer that I keep running largely as a white noise machine and air circulator, as my room tends to have very stagnant air. No clue what model it was, but I got it from Walmart, so I'm sure you could manage a similar feat. There's also tower sized air filters, and filters of all sorts of different sizes, and qualities. As for portable, it relies on how small is portable to you. Does it mean moving it into another room or into a closet for stowage, or does it mean attempting to play a game of tennis with it?