Buy once, cry once- Stihl or Husqvarna. I have a Stihl. Trying to spend less on a gas chainsaw is just going to amount to throwing money away. Even the best chainsaws are super fussy tools that constantly need adjustment and maintenance. They are like the printers of the tool world. You don't want to throw the headaches of a cheaply made one on top of that.
One possibility would be this Makita electric chainsaw. Everyone that I've talked to that has one says they like it and it could be a good starting point that will still be useful even after you eventually get a more powerful gas saw if you do. (Quieter so it will not disturb the neighbors and can be used indoors).
https://www.amazon.com/Makita-UC4051A-Electric-Chain-Saw/dp/B00YFTA84U