I am pretty sure you can't get a bus from HS to TL. TL is normally the same bus as Downtown Disney and there are no park to DTD busses. You will probably have to go to Boardwalk/YC/BC/Swan/Dolphin (all are boat or walk) and then take a bus from there.
Sorry, I see now that there have been some changes. In the past we wear able to use Disney transport although it required two stops. You may want go check the Disney website also, I think the afternoon bus schedules to TL also changed recently.
Before 11am, buses to DTD stop at TL on the way. You need to take a bus from DHS to a resort, and then get the DTD/TL bus. Pop and AoA are convenient transfer points.
From 11 am to 2pm, buses go to DTD, and then TL. Same strategy as above, but it takes longer.
After 2pm, buses to TL run only from Epcot (and, temporarily, the MK resorts). Take the bus from DHS to Epcot, and transfer to TL there.
Also, for a limited time after BB reopens, direct service will be available between BB & TL. This test is currently scheduled to run for about a month after BB reopens on 3/15.