Best way to remove lead paint from pocket doors?

We recently closed on this 1908 house. Very excited to get it all set up, but we are starting the process of removing layers of lead paint from many window frames and doors as it is chipping in a lot of places.

We want to do these beautiful pocket doors next but we’re unsure of how to get to the part of the door that is under the trim. Ideally we don’t want to take the doors down but we’re open to ideas. Should we look at removing the bit of trim that is actually in the way and reattaching it after?

Thank you!