Hi, I read here a lot, but do not speak much. This thread has the majority of advanced users, so I am asking here...
I have used public/private keys, generated locally offline from the code at https://bitcoinpaperwallet.com (public key starts with a 1).

I wish to move them to a segwit paper wallet (public key starts 3), I understand there are technical advantages (cheaper miner fees?). What's the best way to generate offline segwit key pairs? I found https://segwitaddress.org/ but have no experience with it.

Then, I assume I should just sweep them into a local wallet (I prefer Electrum), then send them to the new segwit public address. Suggestions or advice?