If the tuner is at the antenna like an SGC-230 or Icom AH-4, a single hamstick can tune ok on a few bands like a 20m stick may work ok on 17 and 15m, etc. A 9ft CB whip works ok on 20m and higher but 40m and lower it sucks real bad even though the tuner will match it. If your tuner is a coax type (line flattener) like the LDGs don't bother trying to make a single hamstick tune several bands. Even iif it tunes the efficiency goes down the toilet real fast. I have a 706MKII in one of my vehicles with an AH-4 and am real happy with it. I sometimes use an SG-303 whip for all band use and several Hamsticks. Good luck with whatever you get.
I have a tuner as well, I was lookinkg at Hamsticks or the OPEK HVT 400.
I would like to stay way from the screwdriver antennas....for cost reasons
I use a 20 meter hamstick and an SGC 237 autotuner. It tunes up on all bands from 80-10, and gets out great. Performance is a bit marginal on 80 meters, but that is to be expected. The antenna isn't excessively ugly, and the use of the autotuner makes multiband operation a no-brainer.