Wallets:
...| user_id | type | money | ... |
Stats:
..| user_id | currency | money |
$wallets = Wallets::all();
// здесь $wallets нужно сохранить в Stats
DB::raw("INSERT INTO Wallets (user_id, type, money)
SELECT user_id, currency, money FROM Stats")
INSERT INTO table1 (column1) SELECT col1 FROM table2
DB::table('users')->insert([
['email' => 'taylor@example.com', 'votes' => 0],
['email' => 'dayle@example.com', 'votes' => 0]
]);