As a long term LibDem voter, mainly because of PR, this is one of the few issues I disagree on.
Another elected house isn't desirable and I'm generally fine with it being a house full of experienced politicians and subject matter experts. I'd like to reform the appointment process to avoid the stuffing we've seen from Johnson and Truss. The Lords Spiritual should be ended as a group. I have no problem with community leaders being appointed, which may include religious leaders, but not as a fixed role in the house.
I see all of that as fairly minor reform. Not rip it up and start again.
...and shooting the other half in the back as they can't communicate.