Yes, Donna. You have the right idea.
Once one’s all gathi are removed one has attained Nibbana!
Of course, one should start with getting rid of lobha gati, dosa gati, which will be first reduced to gati associated with kama raga/bhava raga and patigha. Then moha gati will be reduced to various gati associated with avijja.
With the comprehension of Tilakkhana (in four stages), one removes those too, and by that time all types of gati contaminated with defilements would have been removed.
However, there could be some character behaviors (not associated with lobha, dosa, moha) may still be left over. I think that is what Johnny mentioned below. For example, one young Arahant had a habit of jumping over things.