external sd - Should SD card be formatted before putting into new phone?

I got a new phone and want to put the SD card from my old one into it. Should anything be done to it, such as formatting or deleting files? There is a lot of funky stuff on the SD card, from TWRP and Titanium Backup etc. On the other hand I'd rather not delete just for the heck of it as there's a lot of stuff and some I do want to keep.