DC35 is the old model, and DC44 is an upgrade model of DC35. we can find some similarities and differences between Dyson DC44 and DC35 when we compare these two units.

Dyson DC44 vs DC35
images from manufacturer

Difference between Dyson DC44 and DC35:

Performance:
According to users’ experience, DC44 is more powerful than the DC35.

Battery:
In the product description, you can find that these two handheld dyson vacuum cleaners use different types of batteries. The DC44 uses nickel manganese cobalt battery while DC35 uses Lithium-ion battery.
At dyson.com, the DC35 replacement battery is Part No.917083-05 or Part No.917083-01; while the DC44 replacement battery is Part No.917083-03.
The replacement battery of DC44 is cheaper than the DC35.

Run Time: DC44 has a bit longer battery life than DC35.
Both of DC44 and DC35 have dual power mode, but DC44 has a run time of 20 minutes of high constant suction or 8 minutes on Boost mode; while DC35 runs 15 minutes on regular mode (13 minutes with the motorized floor tool), or 6 minutes on MAX power mode.

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Charging Time:
Users say that DC44 takes about 5 hours to fully charge. For Dyson DC35, it takes about 3.5 hours.

Price: Dyson DC44 is more expensive than DC35.
At Dyson.com, Dyson DC44 price is $399.99 while DC35 price is $329.99 when this article is posted.

Weight: DC44 is a bit heavier than DC35.
DC44 weighs 5.07 lbs while DC35 weighs 4.85 lbs.

Similarities between Dyson DC44 and DC35:

Both of these two units are cordless and battery powered handheld vacuum cleaner;

they both comes with motorized floor tool with carbon fiber brushes for picking up dirt from hard floors and rugs/carpet;

features 2 power mode, when set to normal mode, the vacuum provides 28 airwatts suction, when set to boost mode, it provides 65 airwatts suction;

includes a wall-mounted docking station for storing and recharging;

includes a crevice tool for cleaning tight areas, a combination tool for cleaning upholstery and furniture, a mini motorized brush bar to remove pet hair and dust from upholstery and confined areas;

comes with a detachable lightweight aluminum wand for vacuuming high, low areas, and awkward spots;

features Root Cyclone technology;

have a clear bin with 0.09 gallon capacity;

carries 2 year warranty;

dimensions: 44.1″ x 9.1″ x 11.8″ (H x W x D).