We have the same thing here as well! DS is 9 and a half months and he is biting me all the time in the last week or so. He has also been biting the lounge and coffee table but mainly it's me. I can be playing on the floor with him and then he will crawl away and play and then crawl back over and bite me?! He seems to think it's funny and I have tried just moving him away but it's getting worse. It's funny you say about not having a dog as DS reminds me a bit of a puppy at the moment as sometimes when he bites he kind of growls as well...lol! We don't have a dog either
I will try more 'teething' things for him tomorrow but am hoping I might get some more tips here as well.
GL with your DS, if you find something that works could you let me know?