Not to sound like a jerk, but if you plan on removing your tires etc it is well worth it to have one of these tools around. It's a $12-15 tool that is quite useful, not some multi hundred dollar tool that is only required for one specific thing.

In terms of Amazon, their shipping estimates at checkout are pretty accurate. In general they tend to overstate if anything. The non-prime items I have purchased have shown up on or before the estimated arrival date. You can also filter your search to prime only items on their site.