I don't know from slow cookers because I'm too impatient to own one - I do my broths in a pressure cooker.
For non-stick pans, I like this set which has gone up in price since it was gifted to me. If you live near a Costco, you might want to see if they carry it at a better price. Amazon.com: Tramontina 3pk Long Life Saute Pan Value Set: Home & Kitchen
I like this set as a starter set for cast iron, but it's a 10" pan, so it might be small if there are more than one or two in your family. Amazon.com: Lodge Logic LCC3 Pre-Seasoned Combo Cooker, 10.25-inch: Home & Kitchen
For slow cooking, I use this. But it's slow cooking as in a few hours for a tough cut of meat like shank, not for 8-12 hour cooking like broth. Amazon.com: Romertopf Reco No. 110 Classic 2-5-Pound Clay Baker: Home & Kitchen
"Right is right, even if no one is doing it; wrong is wrong, even if everyone is doing it." - St. Augustine