Small baskets about 1.5" diameter are my preference as they won't get hung up on vegetation, but prevent poles from punching through muskeg and soft tundra. Larger baskets will also collect and fling a lit of mud.
Get poles with the largest diameter shaft possible to prevent bending; stiffness of a cylinder increases by a factor of diameter squared. I like lower sections made of 7000 series aluminum which is very stiff. Upper can be carbon as that is rarely the section that breaks. Get poles that extend longer than you need to maximize overlap of sections when adjusted to your preferred length. Avoid twist-lock style connectors which can be finicky.
Lastly, don't use wrist straps when going downhill so you can let go of a pole when it gets stuck, rather than folding it in half with your momentum. Ask me how I know...
I use relatively cheap $100 Komperdel aluminum 3 section hiking poles that have held up well in Alaskas terrain. Previously tried some spendy Leki poles and found them to be too flimsy.