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

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The Tineco Pet Go 303 is not going to solve your problem and it'll add many other problems. The V11 has a pretty nice canister that minimizes the need to do that so I don't really understand what your real "problem" is... with the other ones things get stuck and I just quickly rotate out the inside filter part and back in, or just quickly grab whatever that gets stuck or use a brush. Maybe a Dyson V11 *outsize* would solve your problem and it's within your budget if you get an old beat up one. Based on how it looks, it looks like it'll essentially get rid of your problem with the bigger canister and the general shape of it. I feel like you could "solve" the problem you're describing, ironically by purchasing a much worse vacuum like the Tineco, but only because it'll have trouble picking up all the stuff in the first place for it to even get clogged where you say it gets clogged.
I've had good luck with Tineco. My Tineco A11 lasted me 4 years so far. I just got a Tineco A30S 1 month ago and so far it's working well for me, they stop making the batteries swappable but at least the battery life is okay.
Tineco is the top *budget* pick. The top pick is Dyson v12 with two other brands above the budget pick. I mean I have a Tineco too, but it’s nowhere near a Dyson.
This is the budget wirecutter recommendation: https://www.walmart.com/ip/6195650771?sid=c3c8e6d3-ba29-4cae-a4a5-5ade4c99ca08
Probably not a popular brand on this sub for inexplicable reasons, but I highly recommend Tineco — look at the A30S — for your application.
Get the Tineco products. I have the stick vac, the floor mop and the wet dry spot vac. All of these have performed without issue for years for us vs the dyson stick and we went through 3 of the Bissell spot cleaners (pet and auto ones). Best part is all 3 of these cost the same as one Dyson
We use a Tineco stick vacuum and love it! 10/10 would recommend!

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