Let's ignore the fact that you didn't read the update and see that your console is not being "dropped", just given a branched and lesser experience starting 20 September.
(These figures assume you're incredibly lazy and can't be bothered to try to find the best deals so you just use Amazon.com)
Used PS4 guaranteed to be working ($250), plus TTK Legendary Edition ($25), plus Rise of Iron pre-order ($30)
=[b]$305.[/b]
Sale of PS3 ($78 after fees), sale of Destiny PS3 disc ($2 after fees)
=$80.
Total $ to find
=[b]$225.[/b]
Days until Rise of Iron is released
=101.
$ needed / days
=[b]$2.22[/b]
So if you put $2.50 in a shoe box every day starting today, you'll be in good shape to buy everything you need on September 9th.
And remember that's using the laziest way possible, not even the cheapest console and game on Amazon right now, just the cheapest price more than one example is on sale for. Also assumes you have no other PS3 games or accessories to sell.
Final thought, it's time to let go of your 10 year old hardware anyway. It's ridiculous to blame Bungie for technological advancement.
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It's sad when people don't realize how long ten years is technologically speaking. The 360 and PS3 are ancient.