You said liner so I assume you have a decorative hood made from cabinetry or other material. With a liner, you don't need to worry about everything matching (you won't see the brand name tag out front so that rules out the "does it need to match" discussion). Almost any company that makes hoods makes liners, so in my opinion it comes down to what do you want:
- Commercial style grates, mesh screen, or VAH stainless? When you look up under the hood - what do you want to see and what do you want to clean?
- Inline, remote, or attached blower? Attached blowers are loud - inlines and remotes much quieter. Quieter means family members are more likely to use the fan, reducing pollutants and smells from the kitchen.
- Lighting selection? Most have halogens, some led. GE has one with heat lamps. I prefer variable dimming so I can set the light where I want. Low cost hoods will have 1 to 3 fixed light settings.
- Fan speed? Just like the lighting, low cost hoods will have 1 to 3 speed settings. Higher models will have variable speed. Is that worth the expense to you?
- Size and shape. Are you working with confined spaces or limited duct size? With gas, I like to go a few inches past the rangetop on both sides - 36" rangetop = 42" - 48" hood.
- MUA. When cooking with gas, I like to use a larger fan as gas creates more pollutants (than say - induction!). In most municipalities, once you cross the 400 cfm limit, you need to consider make up air. Discuss with your code officials or licensed mechanical contractor to determine.
- Brand. Lot of the out there. I'd look for local representation (not online purchase), track record, and options. Options usually means the company has thought things through. Fantech is good, ModernAire has been around awhile (although they use fantech blowers), Vent a hood, Wolf, GE, pretty much any appliance company.
Best of luck with your choice.
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