You can upload to My Heritage, Family Tree DNA and Living DNA, Marg. First you have to download the raw DNA data from ancestry:
https://support.ancestry.com/s/artic...ryDNA-Raw-Data
Take care not to accidentally delete the DNA data instead, as I saw someone recently posted on Facebook that they had done this.
https://www.myheritage.com/dna/upload
https://www.familytreedna.com/autosomal-transfer
https://support.livingdna.com/hc/en-...-Find-my-past-
You are unlikely to get many matches on Living DNA at the moment, if any, though.
There is also GEDMatch, now known as GEDMatch Genesis, but make sure to read all the privacy info before uploading to that site (it differs from the other sites in that anyone can see your matches etc, not just people who match to you.) I haven't uploaded my DNA data to that site.
But ancestry is likely to be the most useful site for trying to find out who Peter Henry Harrison's ancestors were. I would ignore ThruLines for now if I were you. It's only in beta testing at the moment anyway and I haven't found it to be much use.
As you have tested your DNA, it should be easy enough to see which of your daughters' matches are on their father's side. Then you need to sort them into groups of shared matches and try to figure out how each group is related to them. If they have a match who you know is descended from your PHH, then the shared matches with that person should be particularly useful. Feel free to PM me with names etc if you want help with that.