So glad to hear from you and about your plants, Jojoe!
I agree with you that you should cut right above the rot or withered part of the stem. After you make the cut look at the good end and see if there is still rot discoloration of the stem (sometimes light brown or yellowish). If you still see rot, you need to cut just a bit higher until it looks like healthy stem color. I would then let it callous for a couple of days at most and then let them root. For those stems with roots already I would stick them in soil after the cut edge has been calloused. I would cut stems in different places if the healthy part is long/large and you want to propagate more but if piece is not that big, hold off on making multiple cuts so that plant can recover and get bigger.
Sorry about the rot but the basket was looking great.
More importantly, I hope you are getting better so that you can have fun outside with your plants. I assume you have green stuff inside too (?) so that you can still garden indoors if you can't go outside? Please take care, Jojoe. Thinking about you!