I assume this is the Priceline Express offer you're referring to:
5* Downtown - Port of Miami (<-- CLICK HERE and confirm your dates on the landing page) for $133/nite with:
Indoor or Outdoor Pool
==> best guess for this one would be the Kimpton EPIC Hotel
The 'issue' (that is not an issue) for the offer above is that PRICELINE only guarantees double occupancy, so you could receive a room with only one bed (not sure if your 2 year old sleeps in a bed or crib) and not a place to sleep for your child. However, this is not necessarily an issue for the offer above since this offer shows a room choice fo 2 beds and also indicates that '2 children under 18 years stay free of charge when using existing beds'.
The problem if you bid for a hotel is that you don't know what type of room you will receive (or maybe you get a different hotel than the one above that has a different policy for children). Depending how flexible you are 'adapting' to whatever the room configuration may be, this may be a lesser problem with a 2 year old vs. when your child is much older (as well as hotels having less of an issue with a 2 year old than when the child is mid-teen and taller than many adults).
A second option would be this offer from HOTWIRE:
5* HOTWIRE Downtown - Port of Miami for $126.00 (this price offered by searching using our BiddingHelper.com tool and then looking in the HOTWIRE EASY VIEW tab)
==> the Kimpton EPIC Hotel would be my best guess for this one as well. This offer also qualifies for the $10 off coupon you see at the top of the page or in our Hotwire Coupon page.
HOTWIRE does allow you to search for up to quad occupancy, but for this offer if you include one child the price does go up to $143/nite. (although HOTWIRE considered 'children' to be 2+ years old, so if your child looks closer to 2 years old vs. closer to 3 years old, you could potentially book for 2adults/0children, call the hotel after your booking to let them know you have an almost 2 year old who needs a crib/bed, and see what type of room you have been assigned. If any issues you can then call Hotwire and let them know that you didn't include the child because s/he is under 2 years old, and ask them to either resolve with the hotel or cancel the reservation).
With all of the above noted, if you still would like to try bidding on priceline let us know your maximum bid price and we can suggest a strategy for you to follow.
Please remember to return to BetterBidding and use the PRICELINE and HOTWIRE links on the board to begin your travel purchases... or thru our sister site MAPSandHOTELS.com for your regular rate purchases.
Let us know how you'd like to proceed, or how it goes if you take one of the offers above, and we'll take it from there.