You also have 2 other options although it will take a bit longer.
1. Walk thru EPCOT and take monorail to TTC and change to resort monorail.
2. Take bus to Magic Kingdom and walk to BLT.
Thank you Skelooch for the reply. I plan on taking my luggage from BW to BLT so the other options mentioned wont workout too good. I have switched resorts before & the last time my bags didnt show up until after midnight & that was after several phone calls to try & locate them. I dont want to go through that again so I thought the best way to handle it would be to take a taxi between resorts.