Genitive

So now I've been working on the genetive, feeling that I understand the accusative quite well. The genitive seems confusing but from what I can make out, it's used in 5 different ways:

1.) Posessives.. equivalent to english 's, eg Marks brother (brata Marka) - the possessed object comes first
2.) Negated verb.. genitive replaces direct object, eg Mam siostrę.. Nie mam siostry (I have a sister / I don't have a sister)
3.) After some prepositions such as od / do.. (z Poznania do Warszawy)
4.) After quantities; Mam małó czasu
5.) After some verbs like szukać, słuchać, uczyć się, życzyć


* Masculine animate nouns (people, animals) have same ending as in accusative (-a)
* Masculine inanimate nouns (things) add -u
* Neuter nouns also take masculine acc form and add -a
* Genitive ending for masculine / neuter adjectives is -ego

* Feminine nouns take -i after k,g or soft consonants
* Other nouns take -y
* Feminine adjectives add -ej


Thus, Masculine genitive (Animate):
- Nie mam brata

Masculine genitive (Inanimate):
- Nie lubię brązowego regału

Neutral genitive:
- Muszę iść do miasta

Feminine Genitive:
- dom mojej siostry

It's so much more confusing than the simpler accusative case, but I need to understand it... I think when I understand genitive to a high degree, I can start work on prepositions and do a little bit of a refresh on demonstrative adjectives and pronouns (my, your, this, that).. and then i'll have a solid foundation for working with new vocabulary that I can learn. I think it's a good structure for learning, and if I can get them down then its just a matter of learning the vocabulary and a few other grammatical points like conjugations and tenses but its a great starting point :)