Don’t ever capture paris - you’ll see why.
Advertise to your opponent, if you want to stress him out, all your “Possible angles” of attack… all the territories you can take… he’ll likely try to underdefend everything, and forget what actually matters.
Why wouldn’t you take Paris? It’s not really that difficult, and every turn you don’t take it you’re denying yourself France’s IPCs and letting them build up more (probably not a huge amount, but it’s so easy to stop early).
Depending on who you capture Paris with, when you do it, and when the Axis takes it back, it could be bad. For example, if Great Britain liberates France (their capital, not the other territories), Italy can ignore it. If the US doesn’t have a lot of units to reinforce it, France will collect their income of X IPCs. Then, on Germany’s turn, they can take France back, not only gaining back the income of the actual territory, but also getting all the IPCs that France is holding at that time.