It's really easy to do it in Photoshop or Illustrator if you have the full CC subscription. You can't do it with Premiere Pro easily, and the result's quality in Pr isn't that good. If you need to animate characters, then you have to go into AE.
You can try using a Wave Warp effect to get this! Just mess with the parameters and you can make some funky warped (and therefore curved) text! I use this often when I can't just curve it in photoshop or something.
Many users find it hard to work within AE, so working with PS or Illustrator is much easier for a user if he wants only to do the design of that curved text.
It's really easy to do it in Photoshop or Illustrator if you have the full CC subscription. You can't do it with Premiere Pro easily, and the result's quality in Pr isn't that good. If you need to animate characters, then you have to go into AE.
@Ann Bens has a good few comments on how to achieve this in Premiere. But she's I think outta the 'shop' at the moment, so search the forum for curved text and look for Ann's posts on this.