As always, it depends on what you want to do. The HD44780 is a common LCD driver, and there are plenty of threads on this forum about it already, interfacing with various Picaxe chips. I use it with 20X2, 28X2 and 40X2 chips - usually via an 8-bit shift register to conserve Picaxe pins (in spite the thread I reference later), but you can connect 4 or 8 of the DB pins directly to a Picaxe. Look into some of the other threads, such as this https://picaxeforum.co.uk/threads/newbies-guide-to-parallel-hd44780-lcds-and-winstar-oleds-axe133-as-a-project-board.23707/ and then ask for more specific help.