Hi bill723, I see you have an R3000 printer, the cleaning kit attachment is intended for cartridge directly over head style printers, such as the R2880, 1400/1430, R2000, 1800, 1900 & 2400. The R3000 actually has dampers and ink lines that run from the cartridge carriage assembly to the head internally.
With some mechanical abilities you can do this yourself, see recommendations below:
R3000 Ink Supply Unit Replacement Recommendation
You can gain access to the print head by removing the Ink Supply Unit, you will need the R3000 repair manual for this procedure, found here http://www.2manuals.com/product_info.php?products_id=1376
Epson recommends you replace the Ink Supply Unit once every 12-24 months depending on usage of the printer. This unit actually comes as an entire assembly and is MUCH easier to replace all at once then to replace each individual damper from this unit. It is also more cost effective over purchasing Flush and Cartridges, thus saving you valuable time and money in the long run, in addition you have access to flush the print head and effectively you end up with a fresh starting point. So long as your print head is in good working order still, you will basically have a brand new printer.
You can see an exploded parts diagram on the Compass Micro web-site, it nicely breaks down each part and shows you how they are assembled together. By using the Epson repair manual and these parts diagrams, this job is fairly straight forward if you are mechanically inclined. A word of advise, make sure you read the repair manual thoroughly, step by step to make sure you don't miss any vital steps along the way.
The Ink Supply Unit is assembled of all the dampers, the cartridge housing & chip read sensors & the ink tubes and only costs $172.39. You can purchase this item at Compass Micro by following this link https://www.compassmicro.com/parts_detail.cfm?ID=7461&form.mfg=Epson&form.printerstyle=Inkjet&form.printername=Stylus%20Photo%20R3000