As Kodaly programs teach, the voice is a child's natural instrument. It's also free and never gets left at home. For years, my survival technique was to teach dozens of age-appropriate children's songs (folk songs) at the start of a year and then I could at any time sit at the keyboard and let them sing through their repertoire. These songs, some of which are so simple (yet charming) then serve as the basis for learning rhythms and pitches. Recorder study is part of Kodaly work, but children need to sing, and love to sing, so singing needs to be the major activity.
Another wonderful tool taught in Kodaly workshops is singing games. These are historical folk games and dances of good quality. They not only keep students engaged, they then serve as the basis for learning basic rhythms and pitches.
Definitely go to a Kodaly workshop. There is probably something in your area this spring. Look up your local Kodaly organization and join. There might be a presentation or two at TMEA, but what you'll really benefit from is a workshop where they teach songs and games and show the connection to music reading skills. One 2-3 hour workshop can provide weeks of content for the classroom, all of which engages students and provides a basis for music literacy. Going through a summer certification program, offered at many universities including in Texas, will provide you with a full year-long curriculum to teach grades K-5, and you don't need a room full of supplies to succeed.