WAL files are incremental, so the simple answer is: You cannot throw any files out. The solution is to make a new base backup and then all previous WALs can be deleted.
The WAL files contain individual statements that modify tables so if you throw some older WALs out, then the recovery process will fail (it will not silently skip missing WAL files) because the state of the database cannot be restored reliably. You can move the WAL files to some other location without upsetting the WAL process but then you'd have to make all WAL files available again from a single location if you ever need to recover your database from some point in the past; if you are running out of disk space then that may mean recovering from some location where you have enough space to store the base backup and all WAL files. The main issue here is if you can do that fast enough to restore a full database after an incident.
Another issue is that if you cannot identify where/when a problem occurred that needs to be corrected your only option is to start with the base backup and then replay all the WAL files. This procedure is not difficult, but if you have an old base backup and many WAL files to process, this simply takes a lot of time.
The best approach for your case, in general, is to make a new base backup every x months and collect WALs with that base backup. After every new base backup you can delete the old base backup and its subsequent WALs or move them to cheap offline storage (DVD, tape, etc). In the case of a major incident you can quickly restore the database to a known correct state from the recent base backup and the relatively few WAL files collected since then.