General synonyms:
* Striding
* Walking (especially when referring to walking through water)
* Stepping
* Forcing one's way
More specific synonyms:
* Floundering (if the wading is difficult)
* Slogging (if the wading is laborious)
* Splashing (if the wading is noisy)
* Trekking (if the wading is a long journey)
* Plunging (if the wading is deep)
* Fording (if wading across a stream or river)
* Sloshing (if the wading is through shallow water)
The best synonym will depend on the specific context of your sentence.