I have 2 hydro presses from Corbin and enough dies and tooling to make you drool. You can not make a pellet/slug/bullet that is not straight walled. If you look at my bullets there are no lube grooves in them because I can not make lubed grooves in a Corbin die.
If you want to make a pellet/slug that is diabolo shaped or have lube grooves you need a die that splits open. Corbin dies do no open, they push the pellet out the die so the direction it is being pushed has the to have the widest diameter.
Corbin quality is excellent but besides a press and die you will need something to cut the wire, sizers if you need to size for different guns and strong arms. We use hydraulic presses which takes a lot of the work out. You would be a manual press and takes a lot more effort to make the pellets/slugs.
It will costs thousands of dollars to get just a little bit of tooling, press and other tools needed. Just be sure you are someone dedicated and enjoys that type of thing before forking over that kind of money.
I am here to help though if you need it.