Which is better for a bedroom?

The Lasko suits a bedroom better. It is small, has a timer and a thermostat, and its fan noise is modest. The Vornado is better for a larger living space.

Which heats a bigger room?

The Vornado. Its vortex circulation is rated at 5,118 BTU and is built to move warm air across a whole room. The Lasko is aimed at medium or personal spaces.

The Vornado has a heavier metal build, which usually holds up better over years of use. The Lasko is mostly plastic and lighter, so treat it as a portable unit.

Is the Vornado worth stepping up to?

Yes if you need whole-room heat and prefer a solid metal body. No if you mainly want a timer and a small heater you can carry around.

Do both have safety shut-off?

Both list automatic shut-off. The Lasko also lists overheat protection but no tip-over switch. The Vornado's listing does not name a tip-over switch either.

Lasko 754200 Ceramic Heater vs Vornado VHEAT Vintage Heater

Buy the Lasko 754200 if you want a small, cheap-to-run space heater for a desk, bedroom or bathroom and you value a timer and a large owner base. Buy the Vornado VHEAT if you want to heat a whole room and prefer its sturdier metal build and vintage look. The Lasko is lighter and has more owner feedback, but it lacks a tip-over switch. The Vornado moves more air across a wider area but has far fewer ratings and no timer.

Choose the Lasko 754200 if you need a compact personal heater with a timer and thermostat for a small room.
Choose the Vornado VHEAT if you want to warm a whole room and prefer a heavier, retro-styled unit.

Prices

Lasko 754200 Ceramic Heater: $34.57 at Amazon (checked today)
Vornado VHEAT Vintage Heater: $100.00 at eBay (checked today)
Difference: the Lasko 754200 Ceramic Heater is $65.43 cheaper than the Vornado VHEAT Vintage Heater today