Shower? What's a shower?
Seriously, though, I really only do take a shower every 3rd day since dd was born. I either wait untl dh is around, or, I load up the bed with toys she hasn't seen in a while (or new library books work great) and make a mad dash for the shower. My daughter has tantrumed a bit over me being in the shower, but I usually prevail. It also helps if I give her the job of handing me my towel and bathrobe, or if she sits in the bathroom and I tell her a story.
In short - it is really hard - not just taking a shower, but making dinner, paying bills, everything! But the way I look at it is that it is just a few years of making sacrifices to develop our kids as being TV-free, and the result is worth it. As they get older, it will get easier, since they can entertain themselves more and make more rational decisions. Not taking a daily shower is not forever! And I think you will all find that in a month you will be over the "shock" of being without TV, and it will just start to feel normal. In our family, having TV was never a question for us, so we simply created systems that worked without having to use the TV for support. We try to involve my daughter with all our daily tasks (making dinner, etc.), which we feel will go a longer way towards her growth and development than relying on the TV as a babysitter. It can be exhausting.
Congratulations on taking the first steps towards reducing your reliance on TV! You can do it! Especially since spring is springing and you will likely be out of the house more. Good luck!