What you do going forward depends on what you think/hope the underlying might do.
There's nothing wrong with taking a profit now, particularly if you think the current move is extended.
If you think that the underlying will continue to move, roll the winning side out a strike to book its gains (creating a strangle).
Sometimes it's possible to convert a leg to a spread but its viability depends on the month, strike and available premium.
Everything depends on your current outlook. Pretend it's a new trade. What would you do today? When you answer that, convert the original straddle to the new position.