Affordable filtration system that doesn't require waterline connection?

[subtle_variegation]

I'm trying to find a better water solution because the water quality in my location isn't great (hard enough to see deposits on my orchids' leaves). I'm looking for a standalone system or ideally, something that can link to the sink via the nozzle. I won't be able to use anything that requires a waterline connection at the moment because of limited space and the fact that I can't tamper with the pipes behind the sink where I am.

I have seen the countertop RO filters on Amazon but those are above my budget currently.

I could also just continue using tap and regularly flush with distilled, but that probably still wouldn't be enough for a couple of minis I have that probably need better water quality on a regular basis.