Both LST and HBA have a shuttle service into town, easy and cheap. We actually have used a no-brand from LST many times in the past when driving on to Ulverstone. Cheap and cheerful. They pick you up as the office is a few hundred metres away from the terminal.Good tip. Uber does operate from HBA: rental car opening hours in town probably only 9-5.
I‘m travelling from Launceston to Hobart from December 22nd. Cannot find a hire car anywhere, I think because of reduced opening hours. (I want to drop at Hobart late afternoon 26th.) So I am using shuttles at the airports and the Redline bus on 24th from LST to Penguin, then Devonport to Hobart on 26th. Scenic, easy, and I have saved a fortune! Care hire this month is from $250/day. Of course I am missing out on driving the west coast, but can’t be helped. Tours booked pick up from hotel, including a full day Bruny Island tour.