We are similar: I'm English and DH is French, not planning to move to France but definitely wanted names that would work for French speakers as well as English.
I have two children and I found that posting on Mumsnet was a bit pointless tbh because the vast majority of mumsnetters are English speakers who live in the UK and don't speak French fluently, have never lived in France and don't have lots of French family and friends. So very little exposure to current French naming trends and the cultural associations of names. A lot of people will just reel off the French names they've heard once before and thought sounded nice, even though to French person the name is the equivalent of Gary or Sharon or something (perfectly decent names but not names most people would choose for a baby in 2024). Oh and there's always someone who suggests Beau which is the most ridiculous name for an English child let alone a French one.
Oh dear that just turned into a long rant - sorry 
In terms of actual helpful advice (!) I suggest getting a French baby names book and looking at the latest French name lists to see what kind of names are in the top 50 right now.
Personally I ruled out names with "th" because I don't like the difference in pronunciation - although that doesn't bother you for Arthur.
Girls' names are easier I think:
Adele, Alice, Daphne, Emma, Louise, Mia, Sophie
(I wouldn't use Charlotte because of the princess, and I agree that Sylvie is too old-fashioned... the others on your list are ok.)
For boys:
Clément (Clem for short, easy for English speakers), Max (I love Maxime as the full/long name), Noah, Oscar, Sam (Samuel), Simon
(My DH liked Louis too but I didn't... and I'm glad DS doesn't share a name with a royal.)