
SEBO
AIRBELT E3 Premium
Ultra-durable, 10-year warranty, but expensive with short cord.

Running these analyses costs money. Buy through my links to help keep lights on! I may get a small commission.
I have a Kenmore BC4030 and absolutely love it. They normally sell for around $320 to $330, but you can find them for $250 during black Friday. I have 3 dogs and 4 cats, it picks up hair like a champ and the pet powermate it comes with has been super helpful getting hair off of furniture. I also like that the hair doesn't clog things up thanks to the teeth behind the brushroll. I have both hardwood floors and rugs, it works for all without problems. I'm very satisfied with this vacuum and it was affordable for my budget than the more expensive vacuums everyone suggests in this subreddit.
Kenmore BC4030 or look on the Kenmore site and choose a less expensive version, but I'd try to stay in the model 400 or 600 range. Only use OEM Kenmore bags.
Kenmore BC4030 canister or BU4050 upright Intuition. Either one, only use Kenmore OEM bags.
I don't have the turbo or the Intuition. I have a Riccar upright and then I bought the BC4030 canister. You might send a message to Kenmore to see if the canister attachment works on the Intuition, but I'm betting it doesn't.
Kenmore BU4050 or BC4030. Both have hair eliminator brush rolls. Use OEM Kenmore bags, available at Amazon, and put on automatic delivery every 6 months.
I've had bagless uprights for 20+ years and recently realized how bad they are for my allergies. I bought a bagged Riccar upright and a Kenmore bagged canister. The amount of dirt that is coming out of my carpet is amazing. The bags are so different than they used to be. Now they are HEPA. Bagged from now on.
Canisters are better than uprights for stairs and, in general, are easier to carry between floors. Bagged machines are more sanitary than bagless and require less maintenance. I would suggest a Kenmore 600 Series Bagged Canister Vacuum BC4030, which fits your budget.
I also found a "near-new, used only a couple of times", Kenmore 600 series on Facebook, as our other Kenmore finally bit the dust after about 15 years. I also can tell the build quality of this 600 isn't the same from previous models, but knowing that we are in the age of planned obsolescence on pretty much everything, I realize this canister won't last 15 years. But, it will do the job as we will be looking to downsize and the future is uncertain of what kind of flooring we will have. Still looking for a light, day-to-day quick to pick up vacuum mainly for fur of 2 Golden's and 4 cats, especially for carpeted stairs. Since the Golden's are in the "get rid of the summer coat" season, I try to brush daily to keep down clumps of fur everywhere, but still need to vacuum and or carpet rake nearly every day in high shedding season.
I purchased a Kenmore 600 series based on info from this group and I will never look back.
I’ve got a kenmore 600. A bit heavy and bulky but it does great on carpet and floor. I would rate 8 out of 10.

SEBO
AIRBELT E3 Premium
Ultra-durable, 10-year warranty, but expensive with short cord.

Numatic International
Henry Canister Series
Budget king, super durable, but heavy and poor on carpets.

SEBO
AIRBELT D4 Premium
Durable, powerful, long cord, but heavy and pricey.

SEBO
FELIX Premium
Durable, powerful, good for allergies, but heavy with awkward attachments.

Miele
Classic C1 Cat & Dog PowerLine
Durable, powerful, quiet, but very expensive, short cord.

Ranked #1
SEBO - AIRBELT E3 Premium

Ranked #1
SEBO - AIRBELT E3 Premium

Ranked #1
SEBO - AIRBELT E3 Premium

Ranked #1
SEBO - AIRBELT E3 Premium

Ranked #1
Numatic International - Henry Canister Series

Ranked #1
Dyson - V15 Detect Series