I have just recently used my Kill-A-Watt to measure the power usage of both my laptops together, doing the most power taxing things I could find. One was charging after being used unplugged, and one was defragmenting two external drives, both at full brightness. Together they used a maximum of .85 amps, My wall is putting out about 123 volts, so that is a grand total of 104.55 watts. When I was urban boondocking before, I picked up a
Black & Decker 120 watt inverter from Home Depot for about $20. So, that is more than enough to run both my laptops at the same time. It's a tiny little thing and it takes up almost no space. It has an automatic cut-off when the battery gets below 11.8 volts, but I think that is too low, so I didn't depend on it. I was even able to run my Dremel tool off of it, as long as I had my engine running.
Because larger inverters use more "overhead" power, the recommendation is to use the smallest inverter necessary to power the devices connected to it. So, I recommend you just get this tiny little inverter to start with. It is inexpensive, and it worked well for me. If you find you need more later, you can get a bigger inverter. Having a small collection of inverters, of various "sizes" is a good idea.
Even after I get solar, I will still use this little inverter for charging some small things as I drive.