Is it acceptable to store belongings in a hotel room for a few days, as I am transitioning between apartments?

DETAILS: My current apartment contract ends at the end of this month, and my new one starts at the beginning of the following month. Give or take a few days to obtain the key, and I have a few days without an apartment, and nowhere to put my stuff.

If I were to check into a hotel during this time (for four days or so), would it be appropriate if I also brought my apartment stuff (not too much, at about 3 lrg suitcases, but also obviously non-touristy items such as kitchen equipment and a clothes drying rack) up to my room as well? Problems from the front desk?