Firstrade accepts most common types of orders including market, limit, stop, stop-limit, and conditional orders, along with qualifiers such as good for 90 days (GT90), All-or-None (AON), At-the-Open (OPG), and At-the-Close (CLO).
Conditional Orders include One Cancels the Other (OCO) and One Triggers the Other (OTO). These order types can be placed on the website under Trading -> Conditional Orders.