Yes, you can. You can apply for utility model and invention at the same time (this constitutes the application on the same day). As long as the utility model has no serious defects, it will be authorized soon. At this time, your products have begun to be protected. However, because the utility model has not been substantially examined, this right may be unstable (it may have been applied by others). Invention patents will be subject to substantive examination. If the invention patent can be authorized, you can give up practicality and get the authorization of the invention patent, and this right will be stable. The utility model was originally set up to solve the concerns of the landlord.
There is no conflict between appearance patents.