A 150 Amp service will carry the load unless you have an extremely large electrical demand.
Water heater, dryer, electric range, and even an A/C can be run on 150 Amps. If you have any doubts, tell us specifically what you have and we can check it.
You already have the space in the basement and presumably are not adding a 5 ton A/C and a complete set of equipment for an apartment.
The only think that would be likely to push you over the limit would be electric resistance heating. That would at least require a load analysis.