Good replacement for 74HC573N Octal Trans D-Type Latch?
I suggest that you use the 74HC573D, in an SO-20 package. If you don't have enough room on your board, the TSSOP-20 variant 74HC573PW is a good choice, with a much smaller body size.

You may want to use the SO-20 if you're etching your own PCB, but the TSSOP-20 should be easy to use if you have a good quality ENIG board with a solder mask.