Depending on the size of your lawn/s, you may get away with a smaller one. I've had mine for donkeys years and it was just a cheap and cheerful one from B&Q?. It has done the job. I always use it with the box off and then just run the lawnmower over the grass to pick up the moss.
'Optimism is the faith that leads to achievement' - Helen Keller
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https://www.screwfix.com/p/titan-ttb428gdo-32cm-1300w-lawn-scarifier-230v/48162
Although our rake/scarifier is a Draper, we do have a strimmer and a chain saw made by these people and they are very good.
https://www.amazon.co.uk/Einhell-Electric-Purpose-Scarifier-Aerator/dp/B00TF6JKFG/ref=pd_sbs_60_3?_encoding=UTF8&pd_rd_i=B00TF6JKFG&pd_rd_r=8d46645e-62a0-11e8-b798-35d2d7a1b17f&pd_rd_w=pAIyE&pd_rd_wg=RXR6n&pf_rd_i=desktop-dp-sims&pf_rd_m=A3P5ROKL5A1OLE&pf_rd_p=5179604776422437276&pf_rd_r=PW0NDT0RJDMEK4PHDR9J&pf_rd_s=desktop-dp-sims&pf_rd_t=40701&psc=1&refRID=PW0NDT0RJDMEK4PHDR9J