use electrum to copy a bitcoin address to text file on usb
go to exchange, send bitcoin to that text address, (not to any online type wallet)
then get a 'watch-only' wallet, enter the address and see if bitcoins are there
and never enter the 12 words on any wallet that goes online..
Remember that once you give someone an already used Bitcoin address, they will be able to verify your balance and past transactions. That means, they'll know that the address should be yours. They will only be able to watch your Bitcoin address though. To use it in actions such as message signing and spending coins, they'll need the seed and/or private key(s).
If you want to follow the replies before me and go after an airgapped wallet, then remember that the "text address" you were talking in the third row I quoted from your message is the same address you should insert into the "watch-only" wallet. But I repeat, your Bitcoin address, not the privkey or seed.
One thing I would suggest is that you use USB sticks and microSD cards between devices as least as possible. USBs are one of the easiest ways you could get a device that contains your Bitcoin wallet infected, and plugging an infected USB into your airgapped device to only plug it back into an unsafe PC is a risk. Rather than using an USB to copy addresses, you could just use QR codes with Electrum and a webcam instead.
Personally, I would first transfer only a few bucks and make sure they're going to the right place before moving all my funds to the airgapped device. Better be safe than sorry.