I wouldn't get a new logbook unless yours is one of those small logbooks with not enough columns and you are looking for something with blank columns so you can log other kinds of time like turbine, complex, high perf, point to point xc vs 50nm XC, etc.

Also, now would be a good time to start an electronic logbook before you get too many more hours. I'd still keep a paper one, but the electronic logs are handy for totalling times, crosschecking your math, and a good backup.

As others have said, don't carry your logbook with you.

I've seen other instructors buy those small $8ish logbooks that they carry on them and then copy their hours into their real logbook after they complete a couple pages. A lot of others use some app on their smartphone to log time. Some keep their logbooks at the school and make entries as they happen.

I personally write down my time on my desk top calendar in my office with the tail #, time, and anything special like night, xc, etc. I enter it into my real logbook at least once a week. Once I complete and total a page in my logbook I take a photo of it and email it to myself as a backup. It would be an extremely unlucky day if Google's Gmail server gets dumped AND I lose my real logbook at the same time. It's probably not the best system but its been working for now, and I've been meaning to get my electronic logbook going before I get too many more entries to make.