The housings and cartridges are plastic, and there’s no plastic-free certified filter yet. Both are for cold water only. The faucet filter doesn’t fit pull-out or handheld faucets, and each cartridge lasts about 100 gallons (around 3 months). The under-sink filter connects to the cold-water line under your sink and has its own small faucet, so it works with pull-out taps. Check that the certificate names the contaminant you care about; NSF/ANSI 42 alone covers taste and odour.
No tools, renter-friendly: PUR PLUS faucet filter, vertical (FM2500V): Clips onto your tap with no tools, and comes off when you move. Certified by IAPMO R&T to NSF/ANSI 53 for lead and total PFAS, and to NSF/ANSI 401 for microplastics. Not for pull-out or handheld taps. The housing and cartridge are plastic; there's no plastic-free certified filter yet.
If you can install it: A. O. Smith 2-stage under-sink filter (AO-US-200): Fits under the sink: it connects to the cold-water line and has its own small faucet, so it works with pull-out taps. That faucet needs a spare hole in the sink, such as a sprayer or soap-dispenser hole, or a new one drilled; A. O. Smith suggests a professional for any drilling. Certified by WQA to NSF/ANSI 53 for lead and two PFAS (PFOA and PFOS), and to NSF/ANSI 401 for microplastics. Cartridges last about 6 months (500 gallons). The housing and cartridges are plastic.