Yes. You can apply for a utility model and invention at the same time (this constitutes an application on the same day). The utility model will be authorized quickly as long as there are no serious defects. At this time, your product has begun to receive protection. However, because the utility model has not undergone substantive examination, this right may be unstable (it may have been applied for by someone else). Invention patents will go through substantive examination. If the invention patent can be authorized, you can give up the utility model and then obtain the authorization of the invention patent, and the price of this right will be stable. The purpose of establishing utility models is to address the concerns of landlords.
The appearance patent does not conflict with the two.