I use someone's wifi network. Is there anyway to stop him by getting my browsing information or can I somehow hide my browsing history from him?
This isn't an answer to your question, just a suggestion to calm your nerves.
If its a normal router configuration then none of your traffic will ever reach his other devices. If the router goes through a software proxy/reverse proxy (the router isn't plugged directly into the modem) then they could potentially look at your traffic.
Odds are its a normal router configuration and you have nothing to worry about. There aren't a whole lot of people with the technical know-how to snoop on you, odds are you neighbor isn't one of them.