If you are going with the gouge route, you need to pay attention to the type of steel and flute shape.
V10, or M42 can hold an edge longer than M4 or M2. The higher grade steel, the longer you can go before sharpening again so it is a matter of preference and price.
Flute shape also plays into the mix depending on the grind. There what are referred to as bottom of bowl gouges, traditional grind type of shapes that benefit from U shaped gouge. Ellsworth, Irish grind, swept back grinds benefit from parabolic or superflute shaped gouges, stuart batty type of grind benfit from V shaped gouges.
Al referred me to Lyle Jaimeson’s gouge which is v10 thomspon gouge with parabolic shaped flute. It is excellent gouge. I also use Crown Pro-PM gouge with ellsworth grind.
Carbide wise, it depends but I would probably go with hunter tools if I were to go that route.
You will need a grinder if you are going with gouges. I purchased the Rikon 1hp grinder, there is also 1/2hp version. You will need the wolverine jig for it. The grinder goes on sale at woodcraft from time to time.
You will also need a 4 jaw chuck. I started with Nova G3, about $100 and it worked well, upgraded to vicmarc a year later.
For the lathe, the more horse power the better. You can get up to 1.5hp on 110v. If you can afford 1.5hp it would be great, try not to get less than 1hp. Jet is a good choice.