I use my library all the time and have done for 40+ years, although since its recent refit it seems to have fewer books than before! We also have the option of checking our own books in and out, and I've had one major glitch when a returned music disc was showing up as overdue: good job I had my receipt, as the staff couldn't trace the disc at all.
I joined the library when I was five (you couldn't join before this age back then!), but my grandson, who's two and a half, loves being taken there now. He's a book lover, bless him - my two sons didn't take to reading too much, sadly.
Here in Lancashire we have a 'library elf' on-line service, which sends e-mails when books are coming up for renewal/return, so since I've been using that I've had no fines. Brill!!