When I crochet baskets, I use a crochet hook that’s two to three sizes smaller than what the yarn calls for.
For example, for my gift basket (
https://www.crazypatterns.net/de/items/1041/haekelanleitung-geschenkkorb-valentinstag)
, I used Ribbon XL, which is normally worked with a size 10 crochet hook. I crocheted the basket with a No. 8 hook and the handle with a No. 7 hook.
I like to reinforce the edges by crocheting a row of single crochet stitches, inserting the hook one round lower—that is, not into the stitches of the previous round but into those of the round before that.
For basket handles, I also like to crochet over wire. There’s thick craft wire (for wire jewelry, etc.) that’s very sturdy yet still malleable, and it comes in various colors. I place it parallel to the crochet work as I go and then crochet the single crochets over it.
It works great!
Best regards,
Karin