Every fingering that fits a hand
6644
moderate
664x
easy
6899
hard
What is true of it
C♯sus4 is C♯, F♯ and G♯ — 1, 4 and 5 counted from C♯.
These are also the notes of F♯sus2/C♯ and G♭sus2/C♯. Which name is right depends on what is underneath and what came before — the notes alone do not decide.
The easiest of the 3 fingerings below is 6644: 4 fingers, held at the 4th fret.
None of them uses an open string, so this chord moves up the neck unchanged — the same shape 1 fret higher is the chord a semitone above.
Where its notes are on the neck
The brass dots are C♯, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
C♯sus4/F♯
x644
C♯sus4/G♯
112x
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.