IMO, that's too much lawn for an electric.
Also, you have to add the price of a HEAVY DUTY extension cord. A LONG one if your nearest electric outlet isn't conveniently located.
Don't forget overlap.
If you mow with a 1" overlap, your 19" mower is really an 18", while a 21" is a 20".
That's if you keep your grass from getting too long.

If you plan on staying in your house, bite the bullet and get a GOOD mower.
I paid $500 for my Honda in 1989. That was a lot of money at the time, but I'm still using the same mower! All I've replaced is a few blades, air filters and spark plugs, along with a yearly oil change.
When I moved into my house, there was an old B&D electric and a 70's era Craftsman gas mower.
I used the electric ONCE! I struggled with the Craftsman for a couple years until we got a new Honda at work. I volunteered to mow the lawn at work and immediately decided to buy a Honda for myself.
It has well paid for itself and I see no reason why it won't continue to perform for a lot more years.

The cheap mowers will have the decks cracking or the wheels falling off in a few years. Then you have to dispose of it.

I would think you should consider how close to a outdoor outlet you will be in your yard. Eletrics last a long time less moving parts A LOT less maint.! Cut will be the same for power output is the blade is same sharpness.

I was curious, so I did a little more digging. I was way off on my 3 HP claim.

Turns out the most continuous HP possible on a 125V 15 Amp circuit is only 1.76. That's best-case. In reality, when the efficiencies of the motor are taken into acount the true maximum HP is only about 1.4. The B&D motor is only 12 Amps, so it is making even less than that.

Don't know if you care or not, I just thought it was interesting.

Here is a link that might be useful: Advertising HP Claims

Oh I think that's very interesting. 1hp sounds very weak!

I want to say that I've heard that the torque output of an electric motor can be high and is less dependant on the RPM than a gasoline engine is. In other words, maybe the electrics will not be sensitive to certain 'power bands' where the motor makes alot of torque like a gasoline. I wonder if that's how they are such low hp but still able to cut grass. Who knows.

Thanks for the inputs so far!

You are correct a electric motor has more instant torque, so hp is less of a issue.

A good bermuda lawn is thick - a lot of grass to cut. A good electric will likely work if you keep up with the mowing. If it were me I would go with a gas powered mower.