From Longman Dictionary of Contemporary Englishfeel your wayfeel your waya) CAREFULto move carefully, with your hands out in front of you, because you cannot see properly Silently, she felt her way across the room. b) CAREFULto do things slowly and carefully, because you are not completely sure about a new situationfeel your way towards The European Union is still feeling its way towards common policies. → feel
Examples from the Corpus
feel towards• It is up to each participant to feel his way towards the consensus outcome. 