Is it proper to walk to synagogue wearing both tzitzit and tefillin?

Synopsis

The Mechaber (following the Zohar) recommends walking to synagogue wearing tzitzit (tallit katan) and crowned with tefillin. The Rema records the common Ashkenazi practice of wrapping the large tallit at home before going. The Magen Avraham cites the Zohar requiring this practice for those going to a place with no unclean alleyways.

Early Acharonim
Lenient
Strict
Lesser cited
Major authority

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