There are three types of teleports that you can have in your inventory.

Advanced allows you to teleport to a specific spot on your server (or when allowed to move to other servers) to another server. This is the most expensive teleport. My recommendation is to use them only when you need to and to purchase at the end of the week in the alliance store (most commanders have enough alliance points to at a minimum buy a 24 hour shield and an advanced teleporter).

Alliance will teleport you back to your Alliance Assembly point (usually denoted by a purple flag on the map). This is useful when you are force teleported (ashed) and want to get back to the hive and aren’t able to use an event free teleport.

Random will randomly teleport you somewhere on the map. This is useful if you just want to get away when someone is attacking you (either during an event or not). It is a good way to hide temporarily while you figure your next step out.

It is possible to get free teleports on event days. For example, on enemy buster days (Fridays) you can teleport to another server for free and then teleport back to the hive for free. There is a cool down of several minutes so it can’t be used in rapid succession.

The below link gives a nice writeup of teleporters, how to get them, how to use, when to use, etc.

https://theriagames.com/guide/last-war-survival-advanced-teleporter-guide