That Gretsch you linked to is well regarded.
Fender is the long time king of bass brands. For a quite different style (look, sound and feel), Ibanez is very popular. Meanwhile, Gibson isn’t anywhere near as big a player in the bass world as it is with guitars. I’m not saying to not get an Epiphone, but just laying out the lay of the land.
Whereas in the guitar world the traditional debate has been Fender Strat vs. Gibson Les Paul, in the bass world, the traditional debate has been Fender Jazz Bass vs. Fender Precision Bass. By the way, "Jazz" in this case is just a model name, it has nothing particularly to do with jazz music.
You might check out a Fender (or Squire) Precision or two, a Fender (or Squire) Jazz or two, and an Ibanez or two that are in your price range to see what appeals to you. Also that Gretsch and maybe a Fender Mustang PJ (Fender’s main short scale). If you can try some of those, you’ll have a good basis for choosing what might suit you.
But really, pretty much anything that can sound the notes well and be set up to play easily is good to start on. Go with something you can afford that looks cool to you and get a set up (a "set up" is basically having a shop’s tech adjust the positions of the strings, neck, bridge and pickup height, etc. so that the bass sounds right and plays easily).
Good luck with the band!