January is definitely not the best month for flowers. It is the end of the amaryllis season and the beginning of the tulips. You can also find some ranunculus and anemones, not the cheapest and not the most beautiful ones either. Branches, such as those lovely quince branches are a lovely alternative. They last quite a long time and look lovely when they bloom.
They come in different shades of pink and in white.
Here are a couple of pictures from the ones I have a the moment in my living room.
I wish you a great day.