One option is to reproduce it electronically either by scanning or by digital photopgraphy.

I have done this several times with a number of 607 squadron logbooks.

This has the advantage of being able to produce several copies for family members either in hard copy or on disk.

The original can the be rightly safely stored and so thereore be afforded a greater degree of protection.

The hard copies could also be bound to produce a replica logbook. Many of the Universities have departments that carry out book binding to bind Phd Theses.