This style of order management is currently tough in Quantopian, but not impossible. You'll want to use the get_order() function to track a single order position, note the amount of shares bought in that order (for example 50 shares of stock XYZ at $10). Once this order has been filled and you own the position, then you can submit a new limit order for 50 shares at $10.50. Here's an example how to detect order status (open, filled, cancelled, etc).

You can repeat this process twice: once for a limit sell at $10.50 and a second time for $9.50. Keep in mind that in live trading, all open orders are cancelled at end-of-day. You'll need to resubmit the limit orders at the following market open.

The function get_open_orders() will query for all orders that have been submitted to the broker but not yet filled. It won't return data on filled positions in your portfolio. Hope that clarifies the setup!

Not to be a party pooper, but I think this sort of order management is effectively impossible with Quantopian. If you buy a stock at $10 and want a limit order to sell at 50c above your entry, there is basically no way to persist this order over multiple days, if you consider that the stock might split, or pay dividends, and the algo will never know either, and there is no record of historical transactions tied to open positions.

If your entry was at $10 last week and limit sell at $10.50, but the stock since split 2:1 and then paid a $1 dividend, it's price will now be (assuming it hasn't legitimately moved at all) $4, and you'd probably want your limit sell at $4.25 but there's no way at all to calculate that number.