Just stay with the recipe I gave you.

You will need a vacuum set. Period. Also, buying Unicel cartridges will help; the Intex OEM don't seem filter algae particles. I'll put links for the Unicels and a vacuum set. You'll need to get the Unicel's online, but you may be able to find a vacuum set on clearance at Walmart, etc for a lot less.

Ben

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+ The OEM cartridges in Intex / Summer Escapes / etc. filters are not high quality. The Intex manuals recommend replacing them completely every 2 weeks. A BETTER option is to replace them permanently with 2 - 3 Unicel cartridges, and rotating them through a cleaning solution. Properly maintained, the Unicel cartridges will last all season AND will filter better. So even though they cost more per cartridge, they cost less per season! Learn to maintain them, by reading this post, Cleaning-your-Cartridge-Filter-wiithout-Damaging-It!

But, purchasing them is tricky. Amazon does not consistently stock them, and some of the 3rd party sellers are charging high prices and/or high shipping. So, check the Amazon link, but watch out for the prices and shipping costs.

It would be nice if you could just buy them elsewhere, but many of the online pool stores are listing Pleatco or other Asian made low quality filters, as "Unicel C-4607 type" or "fits Unicel C-4607". So shop carefully!

Here are the Amazon links:
Unicel C-4607 Replacement Filter Cartridge (Easy Set Size A or C) @ Amazon
Unicel C-5315 Replacement Filter Cartridge for 15 Square Foot Intex B Filter @ Amazon
Poolmaster 27514 Classic Full View Triangular Vinyl Liner Vacuum
Hydro Tools 8365 8- to 16-Foot Adjustable Fluted Premium Fluted Telescopic Pool Pole, White
Hydro Tools 1-1/4-Inch Diameter With Swivel Cuff Pool Vacuum Hose
One caution: it may be necessary to get some sort of adapter to connect vac hose to the skimmer or pool. Possibly, something like this
Intex Vacuum Tube Adaptor
However, I am NOT recommending that, because I'm not sure it's what you'll need, or even if you will need it. Also, I hate to see a $9 shipping charge with a $9 item -- that's not a ripoff necessarily, but I'd rather find a better way.