Lucky is great. Very responsive.
But it seems you have the dates, flights and points lined up
If you know what you want and have the dates lined up, you could do it yourself as well.

Option A
All you need to do is to call UA or place it on hold and transfer 70k points to each UA account.
Where you will need help is that you will have not enough points for the Hotels

Option B
If you can, I would call US and put it on hold
BUY US miles today = present 80k + new 20+20bonus for 800$ = 120k
BUY US miles today = present 40k + new 40+40bonus for 1600$ = 120k
Total cost = 2400$ for a ticket; the other is free with the miles you have
(or you pay average of 1200$ each for 2 tickets)

And use the UR for the Hyatts - great value at the high end at 22k per night
So you have 10 days lined up for free with 220k.

Option C
or to lower cost
A bit more risky with schedule changes
Share 40k US to your acct = 450$ cost
Transfer 70k to 1 UA acct = 1 ticket bought on UA for same flights

B
I would buy US, stay in Hyatt and save the UA AA for your next trip abroad or in the US where you have flexibility of oneways