Hi zygopetalum
"
My Centurylink IP has been putting 2 PUPs on my computer"
As far as I can see from a search Centurylink is a reputable ISP so it is not likely that it is sending you PUPs.
However, there is a known PUP (
"PUP.optional.CenturyLink.ShrtCln") which has that ISP name in it. See
Remove PUP.optional.CenturyLink.ShrtCln virus - Removal - Antivirus-Blog.com for how to get rid of it.
There is also
"CenturyLink Search", which is a browser hijacker - there is some info about dealing with it here;
Guide to Delete CenturyLink Search Completely | Removal Tips.