You'll want to check the BTUs on that turkey fryer--my burner produces 54,000 BTUs and it's only barely enough for a full 6.5-gallon boil.
A 10-gallon tun is ok.
As far as saving money goes, I've found over time that in trying to buy THE most cost-effective items I run the risk of buying something I'll regret when the time comes to upgrade.
I know that's tough to combat when starting a new hobby--we're not certain we'll want to stick with it, so we buy lesser items to keep cost down, but in the end, it costs MORE because we lose the money in our cheap purchases when we upgrade.
If you buy quality equipment you will be able to sell it should you decide to move in a different direction. You won't get all your money back out, but it will likely be no less than what you'd have sacrificed in buying cheap equipment.
And I know not everyone has a money tree in their back yard, but buying quality usually saves money in the long run.
Welcome to all of this (it's addictive, maybe not what you want to hear), and good luck with whatever choices you make.