Hulka,
Well, I am not surprised you like the range of the 18-55 kit lens, it is just about the same as your 28-80 when you take the crop of the camera into account. With the crop cameras from Canon, you need to multiply the focal length of each lens by 1.6 to see what its effective range will be on the camera, so the 18-55 kit lens works out to about 29-88, right where most of your photos probably lie.
I don't know how old your 28-80 is, but it likely will not give you great performance on a digital camera, as it started life on a film camera. Digital lenses have special coatings to reduce ghosting and flare. I would keep it as a backup for now.
The nifty fifty is a nice little lens, very sharp. But with the crop factor, it works out to an 80mm lens, so it can be a little tight for indoor work. It is also a prime lens, meaning it is a fixed focal length, so if you want to get closer or further away from the shot, you have to move. It is also not terrible for a cheap portrait lens.
Your Tamron zoom is not a bad lens, but is a consumer grade lens. It can get some decent results if you work within its limitations.
You will find that each lens you get has its own sweet spot, the area in which it will achieve its best results. You will have to spend time with each lens to learn each one. Reading reviews here and on other sites can greatly aid in this too.
You actually don't have a bad starting setup, you have coverage from 18 to 300mm. You now have to decide how serious you want to get with photography and how much you want to spend on it. If you just want to have good pictures to remember things, that is one level of photography. And if you want to maybe sell some of your work, that is another. What I am saying is while there are lenses that are the best, you don't really have to buy the best to be happy with the results.
You will have to think about this and decide what you want to do. That will greatly influence what decisions you make about buying additional gear.
For now, I would recommend buying the nifty fifty, it is cheap, fast and a nice introduction into the world of primes. Next, I would seriously consider upgrading the kit lens. This is for two reason, you have some photographic experience and you have a small child. Most of your photography with your daughter can be covered in this range.
And while the kit lens is a decent value and good learning tool, it is neither fast enough, nor sharp enough for keeping up with her. For this, I would recommend a fast standard zoom, the same basic range of the kit lens, but with a wider aperture, either fixed or variable. There are many choices, but I will give you a few choices to review:
Canon 17-55 F2.8 IS USM - $1000
Sigma 17-70 F2.8-4 - $350
Tamron 17-50 F2.8
Each of these lenses is very well regarded here and on other sites, you will be able to find many reviews of them and many sample pictures. The best of the three is the Canon, as price would indicate, but that is also a lot of money and may be out of your reach. The Sigma and Tamron are both good lenses and have their advantages. Take some time and research them. I think you will be happy with either of them and they both will give you more latitude with your photography.
And of course, if you have questions, come on back and ask them here. You will find no shortage of advice and answers here.