Traktor S2 or S4 MK2

Traktor S2 or S4 MK2

Hi,
I am been using Traktor for several years now on my laptop and I would like to buy a controller now.
I am a bedroom DJ, but I would like to start mixing in bars / small venues.

My preference goes for the Traktor S2, as it is cheaper, and offer 2 decks + 1 (remix decks).
It does not offer any filters for the deck C and D though. Is it gonna be a problem if I buy the Kontrol F1 afterwards ?

Also, would it be more suitable to buy :
Traktor Kontrol S2 MK2 + Traktor Kontrol F1
Traktor S4 only ?