no you don't have to do anything, I find it interesting that she seems to up her texting quota per day with you now that you're separated ;-)
You actually need to start moving on with your life, I know you're living with your buddy now but I would considering finding an apartment, at least a 2 bedroom or a small house to rent and start making it your home - you're still in transition, you're not on your own yet. I hear you about the new business and being busy, that's good but let's not keep that reason from letting you proceed with your life. You & your kids need a home (apartment, condo, house, whatever) to live in that is your own place not someone else's, some place that you can personalize and make your own home so that the kids feel comfortable there as well.
You can do it.
As for replying to her text, let her be for a bit, I wouldn't bother replying to her every text, if she continues to hound you, tell her plain & simple "this whole process has made me realize that I really need my space from you, to figure out what I want in my life. I expect to communicate with you concerning the kids but I think we can keep anything that doesn't concern them to a minimum, we're both adults, I think we can handle it, we pretty much have to now."
And leave it at that and if she texts a hundred message after that range from "WTF" to "you're just angry about all of this and being childish" to "I knew I was right about you", don't reply to any of them, give her the gift of missing you.