"Thanks!" Once he got a hand on his chair, he was able to pull it closer. From there, it was a fairly standard move, hauling himself up into his chair and getting his legs sorted out.
After that, he moved back towards the woman and her baby, although he kept his back towards them both. "Uh, well. I'm Jake. Jake Sully, hi. I'd say 'Nice to meet you', but this place seems to like making things awkward."