Best lens to start with a 5D Mark III

From my siggy you can see I have pretty good selection of lenses for a crop sensor camera. Although I plan to sell lots of my crop lens inventory soon.

I plan to purchase a 5d Mark iii and start slowing building up my collection of lenses designed for full frame cameras. Not sure precisely where to start. Both my Canon 100-400L and Sigma 70-200 f/2.8 perform just fine on the 5D Mark III. Likely won't be starting there.

A few lenses I am considering are:
16-35MM ii f2.8L
17-40mm f/4L
24-70mm f/2.8 New Tamron lens
24-105 f/4L

I plan to shooting a lot of indoor sports and cheerleading competitions in the fall. I think I will need something that pretty closely resembles on my 17-55mm f/2.8 lens but for full frame.

Any suggestion? I am dropping some serious coin on the camera body and lens purchase so I will have to live with my choice of lens for quite a while.

I went for the 24-105 as its a great walk around, with decent quality. I'm also using a 70-200 and 24-70. I also want to get a 17-40 for extra wide...

The Tamron is high top on my "to buy" list.

IIRC I've seen a few posts about the Tamron 24-70 VC causing a battery drain if left on some camera bodies. Not sure which bodies but I have a similar problem with my 5D3 and a Sigma 150-500 OS. I'm not too worried as I very rarely leave it attached to the camera in the bag and I've got plenty of spare batteries as well. I've emailed Sigma about the phenomenon but haven't got a reply yet. I can have a pair of batteries drain overnight if I leave the lens on though.

I've got a Sigma 24-70 f2.8 USM and it's a killer lens on the 5D3. Very sharp and has fast AF, I use that and my 70-200 f2.8 MkII far more as a pair now than I use my Canon 24-105 f4 IS L, which is another great lens on a 5D3 though.

You,ve got a couple of options of the 17-40 and the 24-105. I've had both these lenses on the 5D.

The 17-40 lens is sharper than the 24-105 at the range. The 17-40 is a landscape lens and has a fair degree of distortion for buildings.

For your needs probably the 24-105 is the better option.

Well since you'll be doing a lot of indoor shooting the f2.8 would come in handy but the mkiii is pretty usable upto 12800 depending on your tolerance to noise plus i do like the extra reach on my 24-105. Plus you can save a bit of money if you buy it as a kit?

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The 24-105L would be a good, economical all around lens for the 5D3.

For your indoor sports and cheerleading events, I would think you would want some sort of fast telephoto lens. One of the 70-200 f/2.8 options, or a 135L or 200L (f/2.8) prime, depending on your budget and shooting distance, would be good options there.

I've shot a bunch of indoor shooting events with the 24-105mm f/4 on the 5Dc. Often ended up on ISO 3200, but still got very clean shots for the most part as long as I could work from the floor and not far away in the stands. Most likely you'll be able to squeeze much more out of the 5Dmkiii. I've also had great experience shooting the the 70-200mm f/2.8L IS (mk I), which is still a stellar performer and currently goes for ~$1.3k. It's a bit too much on the tele end to be a casual walk-around but it churns out amazing portraits.

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