Best for Learning: Stash. Its capabilities will be available for other asset classes over the coming year. Learn more about our review process. You can customize your dashboards and screens, access research and advice, transfer funds, get market alerts, and even watch videos teaching how different types of trades and investments work. Personal Finance. But the best-integrated banking and stock trading app in one is the Schwab mobile app. For families, Stockpile is great because it lets you buy and gift shares of stock.