People get so worried about logbooks, but the truth is that noone actually cares as long as you have the required information written somewhere.
I filled three logbooks, and now I just keep digital one. I originally logged everything to the minute, until one instructor pointed out that decimal is perfectly accepted, so when I started the next page I wrote at the top "from this page on all times are logged in decimal" signed it, and noone cares.
That first logbook is full of crossing outs, tip ex, corrections to bad addition or putting stuff in the wrong column, it's been to the CAA at least a half dozen times over the years what with applications for PPL(A), CPL(A), IR(A), FI(A), Type rating, and ATPL, and it has never been commented on.
Stop worrying so much about which logbook you are using, I would just keep everything in the one place, just so long as you are logging all of the required information.