Multichannel systems for engaging a bodily tissue and methods of using the same. In at least one embodiment of an exemplary multichannel system for engaging a tissue of the present disclosure, the system comprises an engagement catheter comprising a proximal end, a distal end, and defining a first lumen and second lumen extending between the proximal end and the distal end, an inducer sheath having a proximal portion and a distal portion, and defining a lumen extending therethrough, the inducer sheath configured for insertion into the second lumen of the engagement catheter, and a dilator defining a first channel and a second channel extending therethrough and a tapered tip at the distal end of the dilator, the dilator sized and shaped for inserted into the lumen of the inducer sheath.