PCSing is a good one. It means "moving from one base to another." So you'd say "He just PCSed here."
EAS is when your husband is getting out. Use that to get out of filling out an application. "My husband's EAS is coming up next year, so I'll have to talk with him more about whether he's re enlisting or EASing, so we know how to plan our living arrangements. "
If they ask for your DEERS/RAPIDS ID, and they should right off the bat, just tell them you guys just got married and are still waiting on your marriage license to come in, before you go to DEERS.
Make sure you know your husband's MOS and rank, Forward observer, tow gunner, airframe, admin, logistics...something safe and plentiful. Rank would be E-3 and above, to about E-6. Those are safe.
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Plan the work. Work the plan.