F the rest of the season you will be fine with all weather tyres. They offer a good compromise in most weather conditions and when the weather varies from mild winters to normal summers. If you want to enjoy superior tyre performance during summer, you may want to install dedicated summer tyres.
There are different all weather tyres to choose from. If you buy tyres from a reputable manufacturer, you should be getting what you pay for. If you do experience harsh winter weather, you might be better of selecting an all weather tyre from a manufacturer that also produces winter tyres, because they know what is needed to handle the cold conditions. As winter conditions are the most severe conditions, there is a lot of research and development done to achieve the most optimal winter tyre as well as the most optimal all weather tyres
It is of course easier if you don’t have to change the tyres for different seasons. There is also a slight cost saving. However, if you have to sets of tyres for different seasons, they tend to last longer as they are only used half the time.