I've done both--taken them with me and put them in the trash. Sometimes, I have gone through so many that I used the trash. If I don't need to use any until the end of the session, then I usually take it with me. It also depends on the type of crying. Sometimes, there's just an unrelenting gush that my shirt gets sloppy if I don't catch it all. If it's just some tears, I use my hand or arm to wipe it off.