I don't have BTDT advice exactly but we did move ourselves cross country when DD was 5 weeks old. All the packing was done before she arrived and while I was uncomfortably pregnant and working more than full time. We started packing 2 months before the moving van arrived and I made a point of packing a box every night during that time no matter how tired I was. DH and our families loaded the van (we packed and loaded the van ourselves but it was driven by a professional) over a long weekend and DD was born the next day (perfect timing baby girl, we'll forever be grateful!)
We moved in with my parents until taking possession of our new home 5 weeks later.
DH and my dad went a week before DD, my mom and I flew to our new home.Â
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Since the move a have flown with DD alone several times including just this last week. She is now 9 months old and flying with her alone is getting more difficult since she want to be up and cruising, not sitting in mama's lap, but it can be done. If you have your mom's help I would suggest flying rather than driving. I know DD would not have patience for a multiple day cross country drive at this age.
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I would suggest you start packing early. Get you DP to help you with some of it now. Make a goal to get one box from a single area of the house packed each evening after your DS is asleep. Start with the non-essential stuff and go from there. books, CDs, DVDs, seasonal supplies, kitchen stuff except for the bare-bones essentials, extra linens, out of season clothes, pictures off the walls, etc. If you have a garage you can store boxes there for the time being or start stacking them in corners. Enlist the help of friends or family when it comes time to actually load the van.Â
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You can do it! I used our move as a chance to get rid of lots of random stuff and I love our new home without all the clutter. Good luck, mama!