Hi,
I am complete beginner (mom shooting pics of the kiddos). I have Canon T3-i with the basic lens it came with EF-S 18-55 mm. And I dropped it

I believe the lens is broken.
Is there a lens that would do it all? Or should I get 2 different ones. Really I am beginner and would like to learn more, but that looks like I might have to wait a decade to be able to (3 kids under 5)., but in mean time I want to capture the family moments as they will not come back.
And please budget friendly. I am not planing to spend $1000 and more on one lens.
Thank you, I appreciate your help guys!
I take it you dropped camera AND lens. Lens may be indeed broken, but before you go spend money on just the new lens, I suggest you find someone who also has a Canon DSLR, and try their lens on your body. Make sure everything works properly - that the camera powers on, focuses, takes pictures, the pictures look good, flash works, screen works. If you find that your body is also damaged, it is likely not worth repairing. However, if you contact Canon customer service, you may be able to get a discount on a replacement camera by sending in your broken one (called Canon Loyalty Program)
If body is indeed damaged, I would recommend this kit: T5i with 18-135 STM lens. There is a caveat, however: this is a Canon refurbished product, at $840, and there will be also tax and shipping. However, if you get a good 'loyalty' discount for your old camera, it may be worth it. Otherwise, you can buy same exact kit from B&H, brand new, for $900, no tax unless you are in NY, and free shipping.
Now, if body appears to work fine, the lens I would recommend most is EF-S 18-135 f/3.5-5.6 STM. $550 new from B&H, or $440 refurbished from Canon. Check with their customer service, maybe they got loyalty program for lenses as well? You can also get in on eBay:
http://www.ebay.com/itm/Canon-EF-S-...78089123?pt=Camera_Lenses&hash=item19f49ca5a3 Only $315, seller looks reputable enough.
There is really no 'do it all' lens - which is why systems with interchangeable lenses exist. With every lens, you get some, you lose some. However, 18-135 is a darn good all-rounder, giving you a lot more reach than the 18-55. At longer end (85mm+) it can yield very nice shallow depth portrait shots. STM means much faster/quieter focusing, and the lens will be optically better than your old one as well. It should serve all your needs until your kids start going into large field sports - then you can add the 55-250 or even 100-400 to your kit.
For indoors, I highly recommend getting an add-on flash. There are very affordable third party options like Yongnuo.