I don't like rivets in pans either. I just don't have the patience required to clean all around the damn things.
The Paderno Classic Series have welded handles. We have some 20+ year old pots that still in great shape.
Padernos are solid pots.
Nice no drip lip edge for pouring liquids.
Solid base of aluminum for heat transfer.
Until they eventually get pitted over time, they are very smooth on the surface making it no stick with a bit of oil or butter.
Started in Canada out on the island.
https://paderno.com/can/corporate.php
