Wife and I rented a bed at Breezy Bay and it was great. Not many folks there (June cruise on Enchantment out of Baltimore). We took the shuttle to the beds (it was a long way around, but we did not know how far a walk it would be). The bed concierge gave us towels but did not see her again. Restaurant and bar near by (never saw a server to take my order so went to the bar).
Since there were two rows of beds strung out, we had fewer people in the water in front of our beds.
We booked the same bed for our Sept Allure Cruise. I had the same question about which location would be best and decided the Breezy Bay would be less crowded as further from the ship - a good decision. We have been watching the reservations for our cruises and see the Chill area beds usually sell out first. If you want quite and willing to walk or take the shuttle, I recommend Breeze Bay for a Bed.
The beds are preassigned and have the guest's name on a blackboard attached to the bed frame. The bed as curtains which can be closed to block out the sun. Two floats, two chairs and a cooler with 4 bottles of water come with the bed. We will always order a beach bed in Breezy Bay when not taking the family to CoCo Cay (with family we get a Cabana in Water Park).
Hope this helps in the location decision to get a Beach Bed. My recommendation is order early and one can always cancel before the port.