>> This will be my first time going neuchatel as well, i am not very sure of the map.
I'm not really sure what you mean by that.
There are various maps to help you see where Neuchâtel is in relation to other places (including Google Maps, which has railway stations, cable car stations, boat wharves and bus stops marked).
The Swiss Timetable will give you travel times, standard (i.e. fastest) routes, and connections for trains, buses, boats and cable cars. For scenic or indirect routes, people on the forum can guide you how to produce them by specifying "via" stations along the route.
Geo Admin Map
Swiss Travel Pass & Swiss Half Fare Card validity map for 2018
As explained in the legend on the map, red lines are trains, yellow lines are buses, black lines are cable cars, white lines are boats.
>> I don't plan to drive in switzerland because i am not sure of the roads, so trains would be buddy the whole month. Basically the places i can go is quite limited to within walking distance from the train stations.
Given that there are almost 800 stations in Switzerland, that's not really all that limiting ;-)
Then there is the PostBus network as well of course. They connect very conveniently with trains in most cases.
And don't forget that boats and cable cars can get you to a lot more places as well, and they all connect up with trains and/or buses as well.
A look at the map above for the Swiss Travel System will show you how dense the network is.