How to easily peel baby round potatoes

This may sound like a silly answer, but it actually isn't: just do it faster. I've worked in professional kitchens, a lot of the time on prep shifts, and although there are lots of great tricks for prepping vegetables, the single thing that helps the most is to simply concentrate and move your hands faster. Build up your speed slowly so you don't cut yourself. And of course be sure you have a very sharp peeler. But mainly, work on slowly increasing your tempo until your hands are a veritable blur, and it won't seem like such a chore anymore.

I used to cook plenty of purple sweet potatoes when I was living in africa:) Sounds like you maybe cooked them too long...

They can be extremely tasty, sweet with a "perfumy" hint if you are lucky. They are best boiled with the skin on like you did and peeled afterwards (as the taste is preserved better that way). As for cooking time it really depends on the size (which means the potatoes are likely done at different times) but you can always feel when they are done by pressing on the potato with a fork - it should give slightly/be soft. I think it usually took me about 30min but I didn't use a clock. It may shorten the cooking time slightly to make holes in the potatoes with a fork (this also adds to the "creaminess").

I guess they do sometimes get a softer, more "creamy" consistency than your usual potato when well done. However the taste is richer and in my opinion far superior to orange sweet potato. If you prefer a firmer potato, just let your potatoes stay on the firm side (in my experience, though, the taste is enhanced by letting them go soft). But boiled ones would anyways mainly be for puddings as it gets rather sweet.

For panfrying I would suggest avoiding boiling the sweet pots first. Simply peel/wedge them raw, fry them as chips until done and serve with a spicy/hot dip - yum.