Mi esposo y yo llegaremos el domingo. ¿Será posible que nos quedásemos(Pudiesemos quedar is also other option) en la casa por dos noches?
Trust me, verbs are a headache for every native speaker of spanish! (As one who likes to write).
You need a dictionary of these verbs and how they change in specific moment.
http://conjugador.reverso.net/conjugacion-espanol.html
This page you put the verb and then it show you all the posibilities.