For convenience, go the cab route.
If you want to do it via Disney transport, going by way of DHS involves a bus and a boat, while go via AK involves two buses. The travel time for both of these will be about the same, but going via the boat from DHS is more fun. Going via Epcot will involve a long walk from the bus drop off, all the way through FW, through WS to the IG exit and then to the YC. While I personally enjoy that walk, it would not be my first choice with two kids if I was trying to make a dinner reservation.