You don't mention what time of year you are visiting, but as a local, I highly recommend the M Resort off strip. They have rooms with two queen beds, a short walk from front desk to the elevators, and absolutely modern, updated rooms. They have a free shuttle service to and from McCarran, on a set schedule. They also offer free shuttle service to and from the Strip on a set schedule. The M has very affordable rooms AND suites, in case you want a separate one bedroom from a huge living area.
OOPS, I see you are planning summer time. The M has a fabulous outdoor pool area that kids love. Normally not congested like many Strip pools