You are right to be concerned so don't let anyone patronize you for it. Know also that you are obviously going to have less tolerance being hormonal.
It is sexist to allow a girl to cry and whine as a way of communication but not think it normal for a boy.
Anyway, gotta get over my upset to some of the responses you got. Here is my concrete advice- You must consistently address it. Get down to her eye level, touch her shoulders if you need to, and ask her to use her words. Remind her what the clear words are i.e., "Mommy, could I please have more bread." And you do not let her go until she repeats back that clear verbal communication. If she refuses and has a meltdown instead, you say "Okay, mommy can see that you are upset and need to cry right now. So go to your room (bed, chair, "spot"), cry with your teddy (or whatever) and come back to mommy when you are ready to use your words. And you STICK to your GUNS about it, not matter what she pulls. If she sees you're serious she will hate it and may intesify her crying at first, maybe even make herself sick, but she'll be doing it to test you. You must remain calm, instruct or help herself get cleaned up, and repeat your rhetoric.
This is SUCH an important developmental stage for her to learn healthy/un-healthy communication and of course testing you. It IS going to be exhausting for you, but I promise you it will not last forever if you hit it hard now. She'll intensify at 1st but within a week or two you will see a complete difference. The only exception is if she is verbally delayed and needs a speech therapist. I can't tell that from what you've shared so that's up to you to decide on. As far as her saying she's "tired" and just wants to go to bed, etc. To begin with, think about where she is hearing that from. Sounds like you and your husband are hardworking and have probably let that slip around each other for X responsibility. Try to address it between you not to set an example that being tired is an excuse to complain or not do a responsibility.
Next, you directly respond to that with her. Again, very important to take the time to get on her eye level. This communicates more than anything how serious you are (versus ending up w/ a frustrated tone or pitch). And you validate her feeling "mommy hears you, I know that you are tired, mommy is tired to, but we both need to do what we have to do" and if you need to, throw in a pitch about how it is what is "fair." Kids gravitate to the concept of fairness like bugs to a light. So you acknowledge her feelings, direct her to still do what she has to and remind her that it is what's "fair" for her to clean up her toys if you're washing the dishes (etc.).
I know I said earlier to watch for it in yourselves (expressing that you're tired) and now I said to use it, but it really is all about how you use it. I hope this is helpful, maybe it is a bit much to say and a bit much for you to take it- I'm not sure. But I am a mental health therapist so it's why I"m aware of all these things and what they mean and how to help people with it. I am of course, also a mom. I have a little girl also and although she is only 13 months old and barely has a handful of audible words, I already put this advice into practice. I'm not crazy enough to expect her to repeat all the right sounds to "mommy can I have a bite please" but I hold her to it until I hear "mama agghh baba yumm yumm yumm mama." so that she understands the concept that whining and crying are not the way to get your way.
Anyway, my best wishes to you. Feel free to contact me if you want me to expand or clarify anything. -N.