Question: Asalamualaykum, Is performing tasbeeh or reciting durood shareef more virtuous?
Answer: You should follow your heart in this matter. However, the Prophet (saw) has emphasised the recitation of tasbeeh in the morning and evening and before going to sleep.
Therefore, you should endeavour to follow this sunnah ie read the tasbeehat in the morning and evening.
At other times throughout the day, busy yourself in sending Salat and Salam upon Rasulullah sallallahu alayhi wasallam.