If your tailpiece only has one fine tuner (or, no fine tuners!) you can easily add fine tuners to your tailpiece.
We recommend these fine tuners for violin.
The other option is to completely change your tailpiece to these carbon composite tailpieces that have them built in. At our shop, we prefer this tailpiece because it is very lightweight, and doesn’t affect the sound of the violin, but it might not look as nice if you have a boxwood or rosewood chinrest. So it’s up to you.