You can really make this with any yarn and hook you want because no matter what you use it will come out the size you want.
Using two strands of yarn held together.
Start by chaining two.
Rnd 1- 8 sc in 2nd ch from hook, join do not turn, ch 1.
Rnd 2- 2 sc in each sc around, join, ch 1.
Rnd 3- *2 sc in 1st sc, sc in next* repeat around, join, ch 1.
Rnd 4- *2 sc in 1st sc, sc in next two sc.* repeat around, join, ch 1.
Rnd 5- *2sc in 1st sc, sc in next three sc* repeat around, join, ch 1.
Rnd 6- *2 sc in 1st sc, sc in next four sc* repeat around, join, ch 1.
This is the pattern worked for the base of the basket. You can continue until it is as large as you want adding one more sc between 2 sc in each round. When it is as large as you want:
Rnd 1(of basket)- sc in each sc around, join with slip stitch, ch 1.
repeat Rnd 1 until it is as tall as you would like it to be. For the first couple rows it may not just start going straight up but you will see it forming the walls very soon.
With single strand of yarn.
slip st in next sc, ch 1.
*skip next 2 stitches, 5 dc in next st* repeat around, join to top of 1st ch, fasten off, hide string.
Still with two strands of yarn held together.
Chain 4, join into a ring with slip stitch to first ch, sc in same chain as join and, sc in each chain around, (4 sc) here I did not join and just spiraled it by continuing to sc in each sc around until it was as long as I wanted.
Slip st in next sc, fasten off.
You can join the handle at this point if you like or you can do the border first then join the handle, whatever you want.
For the white border I will try to explain this but I will also draw a couple pics to help.
Make a slip knot with the border yarn, insert the hook from the outside of the basket to the inside of the basket between sc stitches from last sc row of basket, grab the loop of the slip knot and pull it threw the basket to the front. (you may need to tighten the loop a little so that it just reaches over the next sc)
Now in same sc row, and *insert the hook between the next two stitches, yo and pull yarn threw basket and loop on needle.* repeat around entire basket.
To end: cut yarn, pull last loop on hook to inside of basket, pull yarn tail threw the loop and pull.
If you didn't attach the handles then that's the only thing left to do and your done! Easy right.