A useful read is the time(7) man page. Notice that Linux also provides the timerfd_create(2) Linux specific syscall, often used with a multiplexing syscall like poll(2) (or ppoll(2) or the older select(2) syscall).
If you want to use signals don't forget to read carefully signal(7) man page (there are restrictions about coding signal handlers; you might want to set a volatile sigatomic_t variable in your signal handlers; you should not do any new or delete -or malloc & free- memory menagenment operations inside a signal handler, where only async-safe function calls are permitted.).
Notice also that event-oriented programming, such as GUI applications, often provide ways (in Gtk, in Qt, with libevent, ....) to manage timers in their event loop.
