There are many variations on monogamy and non-monogamy and each relationship is different. The most important parts are being true to your yourself, communication and trust.
Monogamy and non-monogamy are independent of sexual orientation and gender identity.
Monogamy is a form of relationship in which an individual has only one partner. Some people consider this to be one partner for life, others consider any number of partners monogamy as long as one relationship finishes before the next begins ("Serial monogamy").
Like so many terms, monogamy has a spectrum of definitions and definitions.
Polyfidelity is a flavour of polyamory where the group of people is closed, i.e. there are more than two people in a relationship but the people are agreed on and not easily changeable.
Swinging is about casual sex, although there can be a lot of overlap with polyamory especially as emotions are hard to separate from sexuality.
Polyamory is the practice of, or desire for, intimate relationships where individuals may have more than one partner, with the knowledge and consent of all partners.
It has been described as "consensual, ethical, and responsible non-monogamy".
Where one person, usually living alone, dates multiple others in a polyamorous way.