@yweldon What a marvelous attitude you have maintained throughout this challenge!
I have had multiple hip replacements/revisions, but no Prosthetic Joint Infection and removal. However my cousin has been living with a spacer for years because she acquired systemic MRSA that could not be cured, so no implant could ever be done.

You are in VERY early days yet! At 7 days post-op many total hip patients are still using a walker or a cane, and here you are with NO joint venturing out by Uber shopping, taking care of business, all with no joint, a PICC line and after a very intense orthopedic procedure - amazing.

As for Physical Therapy, you say "I'm unable to do most of the PT exercises I learned after the prior surgeries..." That will be the case - you need to ask for new PT to set you up with the correct, safe regimen to follow with the instability you now have. Also, the PT orders should include setting you up for an orthotic/lift/altered shoe to address the leg length difference.

Have you seen your surgeon for the first post-op visit yet?