行李托运的英文：
to consign the luggage
baggage check-in

参考例句：

How can I have my luggage checked?
怎么办行李托运？

consign是什么意思：
v. 托运；交付

The goods were consigned to you by railway.
货物已由铁路托运到你处。

Consign a task to sb.
把一项任务交付给某人

You must show the consignment ticket and pick up your consigned luggage.
您必须凭托运单提取托运行李。

luggage是什么意思：
n. 行李，皮箱

Put a label on your luggage.
在你行李上做个标记。

luggage carrier for vehicle
车辆用行李架

bicycle luggage carrier
自行车行李架

baggage是什么意思：
n. 行李，装备；精神包袱

This is my baggage.
这是我的行李。

Checked baggage will be delivered to bearer of the baggage check.
交运的行李应交付给行李票的持有者。

Is this the baggage inquiry area?
查询行李情况是在这里吗？