Or just skip the whole Wallet1 and Wallet2 setup altogether... and simply go: Buy Bitcoins -> Send to Mixer -> Your Wallet
Good shortcut, except the risky part during times when unconfirmed transactions are clogging the network and normal transaction could take more than a week.
Today, it's risk free even for a newbie.
that is not a risk because there are ways of solving the problem if you paid a lower fee than you should have and had your transaction stuck. and Electrum and Bitcoin core are already marking the transactions as RBF by default which makes that easy to solve.