"Do you need travel support?" Questions on Conference Applications

I am applying for conferences now for the first time while I have my own grant. My grant is mainly for my living stipend but has some money set aside for travel over 4 years. I am starting to apply for conferences and they are asking if I need support. The technical answer is "no," but the more complicated answer is that to go to all the conferences I want to go to, then I will need support from some of these conferences in order to pay for it for the course of 4 years.

Do I just say "yes" despite the short answer? It's very clear I have this grant that has some travel money, but in the end it's not unlimited, but I don't want to come off as greedy.

Thank you for any advice.