Instead of "chanting" mantras and things like in many Buddhist schools, "chanting" in RKK is actually reciting small portions of chapters of the Threefold Lotus Sutra in English. These are generally parables about aspects of dharma practice which teach about the concept of skillful or expedient means (an important concept in secular Buddhism and a topic that is emphasized in the Lotus Sutra). So we are reciting important lessons from the Lotus Sutra to be internalized - and yes, I get more from some chapters than others.
But I also have Asperger's Syndrome with some physical ailments and so sitting meditation practices for lengthy periods of time was always difficult for me. I do have a "musical" mind (I can recreate classical pieces in my head) though so recitation in a type of monotone helps to provoke changes in consciousness (which elicits the relaxation response) while focusing on what I am reciting helps to evoke mindfulness (I also use breathing practice). This being the case I specifically looked at schools which had practices which I would more likely follow so I especially looked at the Japanese traditions including Jodo Shinshu (Shin Buddhism - I would be Shin if I was not in RKK), SGI (Soka Gakkai), and Nichiren Shu.
I find that reciting and focusing on dharma teachings which I can interpret naturalistically helps me to be more mindful of them during my daily life and helps me to pause, consider, and then respond to someone rather than always just responding from an emotional reaction (I work in the field of social work so this is a helpful skill). The focus on the "ten worlds" in RKK for most Westerners is more on changes in mood and reaction during the day which can make our day hellish or heavenly, make us respond more like a Buddha or bodhisattva (which the Lotus Sutra teaches that ultimately arahant = bodhisattva just two sides of the same coin), etc. Rebirth is considered more of a moment to moment thing rather than a literal truth.
Hoza simply put is most like a Buddhadharma support group. Niwano, the founder of RKK, was concerned about making Buddhist teachings practical and relevant to daily life.
In many ways Rissho Kosei-kai is like the mirror opposite of SGI (Soka Gakkai) although they both have a similar practice. SGI can be quite dogmatic and authoritarian (I looked into SGI before finding RKK). RKK is very inclusive, works cooperatively with other Buddhist groups, and the founder of RKK was a friend of a president of the Unitarian Universalist Association (UU) and RKK and UU remain partner organizations.