I have been playing piano and drums for around 8 years. Additionally I have been playing violin, chello, viola, and upright bass for 3 years. Also been playing djembe (african hand drum) and didgeridoo (Australian beatbox tube) for the past 2 years, and recently attempting to pick accordion.
Imo, the best instruments to pick up first are drums and piano (Most likely a lot of bias here). Learning them will further increase your knowledge of not only the specific instrument, but all the other instruments. Personally, it made learning new instruments much easier to learn and play.
If you wish to get into electronic production with programs like Ableton, and Reason, it would help ALOT if you already played an instrument. Knowing measures, beats, what sounds good/bad really comes into play. That being said it's still doable and easy to learn without prior experience with instruments.
Hope this helps~