Since you're trying to work a tight budget, I would skip the Sorby tools and opt for some less expensive HSS options. Sorby makes some of the best HSS tools on the market, but the price premium is rather high for the name. Personally, I'd suggest you opt for Hurricane as starting tools and then make the decision to go for more expensive tools down the road.

Hurricane are solid inexpensive tools and you can pick up way more tooling for $14 more than the tools you have listed. That set gets you a bowl gouge and parting tool, which are both fairly important. Take one of the scrapers and regrind it into a negative rake scraper - I'd use the 1" since a scraper that large is very likely to stall that HF lathe.

I'd also recommend spending the extra dollar now on a respirator and some P100 cartridges. This is the sort of thing you really want to have up front and is far more important than a sharpening jig - you can always learn to hand sharpen tools, you can't un-COPD your lungs later on. Many people who learn freehand sharpening swear by it and prefer it anyway. Luckily, you can pick up a solid 3M mask with filters for under $20 on Amazon.

So, for about $35 more than you're currently looking at, you can add some safety and get way more tooling for your money, at the expense of having to sharpen a little more frequently.