Lately, CMs have been sending guests requesting a
DAS to City Hall in DL and to Chamber of Commerce in DCA. This is for first time requests and for renewals. (Not sure why this is happening for renewals, but I've seen it happen and experienced it myself more than once. The process goes noticeably quicker at CH and CoC, so maybe it has to do with the wifi reception.) Since the OP will be at DL for Magic Morning (OP: it's just called Magic Morning at DL), it would be safer to go straight to City Hall since it's so close to the entrance. This will save the OP a possibly fruitless trek all the way to the closest kiosk and back to City Hall.
OP: don't worry if it looks like there is a line at City Hall -- CMs will be going down the line culling out guests who only want a map or a birthday button. Just tell the CMs that you need a DAS and they'll take care of you.