Arguably the most important part of any air purifier is its filter. Most air purifiers come with a HEPA filter of some sort, but there are some (like the ones from IKEA) that use EPA filters, which aren’t as effective. Pollen and dust particles are generally classified as PM2.5 particles, so you’ll need a filter that can effectively clear these.
The best at home results will come from an air purifier with a HEPA 13 filter. These are capable of extracting 99.95% - 99.99% of PM2.5 particles from the air, which should make your home a safe haven from dust and pollen. Technically they are medical grade, although hospitals do tend to use ULPA filters instead to create a sterile environment.
Filters, no matter their rating, do need to be changed to maintain their effectiveness. For hayfever and dust allergy sufferers, these changes may need to be more frequent than others. Generally we recommend swapping your filter out every six months, but if you have a dustier home or the pollen count has been high then you may find the filter filling up faster. While you definitely can just vacuum off the dust, the efficiency will still be lower, so if you want the ideal environment it is probably best to just buy a new one.