Maybe a small town advantage but never had long delays for permits. If you are going through planning board review for a non-conforming project, then months need to be allowed, but that is the approval stage not the permit stage.
Others here may be familiar with the pros and cons of who pulls the permits, but things like electrical and plumbing can require a license number. Check your local office for lead times and their thoughts.
As a note, it is always good to keep the local code office in the loop as they do have control.
Create a flow chart for the project with each step in order of what needs to be done and when. If the remodeler is not an electrician, then will he sub that out or you. Electrical is a 3 step process, rough-in for wires, return for receptacles switches and lights, and then final appliance hook up. Where the electrical inspections fall needs to be determined.
We don't have specifics on your home, but issues like lead paint and asbestos need to be considered if present. Also, in some jurisdictions, a remodel triggers the upgrade of all areas involved to current standards. Just reconnecting the plumbing and electrical to where they were before may not meet current codes.
Bud