If you are using the sync function built in to each of those respective browsers, and log in to both of them using the same account you used on the old one, they sould transfer without any additional effort. And if you weren't, then I'd suggest logging in to each of the respective browsers on your old computer, making sure that sync is enabled, then doing the same on your new computer.
--
Brian - Virginia, USA - Windows 10, 64-Bit, Version 22H2, Build 19045
If you cannot or will not imagine the results of your actions, there’s no way you can act morally or responsibly. Little kids can’t do it; babies are morally monsters — completely greedy. Their imagination has to be trained into foresight and empathy.
~ Ursula LeGuin, 2005 Interview in The Guardian