Infant on an Airplane -- help!

So, my mother has been harassing us to bring the baby for a visit.  I'd be happy to go out to CT, which will also let some of the other relatives living in the area meet Kavi.  But Kevin can't travel right now, which means if I go, I'll be traveling alone with an almost-three-month-old baby.  Eep.

I'm tentatively planning on going for three days, because I'm not sure I can handle her for longer without Kev's help.  Not without going nuts, anyway.  I have no idea what I need to bring.  Help?

Here's what I've come up with so far, for three days:

• three receiving blankets
• three burp cloths
• ten outfits (she goes through three a day, with all the spitting up, but onesies don't take up much space)
• pump and bottles (the breastfeeding is still only sort of working)
• diapers (do I need to pack a lot of these, or just a few for the airplane, and figure on buying more when I get there?)
• wipes
• diaper bag
• moby sling
• infant seat and stroller

I'm most concerned about the infant seat and stroller.  We have a Graco Snug Ride -- it's the kind with a base that stays in the car, and the seat snaps in and out of the base and the stroller.  Do I just check all three pieces (or pack the base in my suitcase)?  Do I do that at the ticket counter, or at the gate?  Is it going to be a big pain getting the base secure in my dad's car when I get there?  Is there some other solution that I'm not thinking of?

Is there anything else that I should bring that I'm forgetting?  She doesn't really have any toys that she plays with yet...

Can I really do this? :-(

You can read more from Mary Anne in her journal, An Ongoing, Erratic Diary.