Northern Disney Girl
I have checked in at this time several times, usually you will walk in and you'll be the next guest to be helped. You need to be at the Lodge at 7:00am for this to work best, appx time once you're with a Cast Member 15 minutes.
Plan of action:
Plan on leaving ASSports at 6:30am try and have a taxi lined up for your party size before this time. When you arrive at the Lodge have your DH handle the luggage while you go straight inside to check-in, or reverse this if DH does check-in. If both stay with the luggage this will take more time. Be sure you have everything you're taking to the park this morning separate from the items you will be leaving with Bell Services.
If your room is ready great, but don't even think about going to the room it will waste to much time.
You are all checked in...now you need to get to the Magic Kingdom. There are several options but in your case with two little ones I think you should head to the Bus stop and catch the direct bus to the Magic Kingdom.
When you arrive remember to check for the line that lets guest with early ADR's to enter the park.
You should have plenty of time but if you find yourself running a little late don't panic, remember your at WDW, you're there to have a GREAT time with your family. The Disney resturants know that sometimes guest need a few extra minutes for transportation.
Good Luck
Beckie