The verb {lel} is given as "get out, take out".

As far as the "take out" meaning, things are pretty straightforward:

{'unwatDajvo' vIghro' tIQ vIlel}
I take the ancient cat out of its' basket

But what I can't understand, is how its' "get out" meaning is to be used.

Could we say for instance {pa'vo' jIlel} for "I get out of the room" ?

In English, get out can be used transitively. When used that way, it means the same thing as take out.

I get out my pocket watch and show it to the child.
buq tlhaqwIj vIlel 'ej puqvaD vI'agh.

Using get out this way in English is less formal than take out. English teachers might balk at it and want you to change it to take out.

-- 
SuStel
http://trimboli.name